Find the equation of the line that passes through point a and b

Find The Equation Of The Line That Passes Through Point A And B

Answers

Answer 1

Answer:

An equation of the line that passes through point a and b, is y = 2x + 5.

.

Step-by-step explanation:

☆To find the slope, you can follow the slope formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Plug in!

[tex]m = \frac{ - 1 - 7}{ - 3 - 1} = \frac{ - 8}{ - 4} = 2[/tex]

☆This is the slope-intercept equation:

[tex]y = mx + b[/tex]

☆You have to plug in and solve for b, aka the y-intercept. Plug in the slope and the one set of coordinates.

[tex]y = mx + b \\ \\ 7 = 2(1) + b \\ 7 = 2 + b \\ \frac{ - 2 = - 2 \: \: \: \: \: \: \: \: \: \: \: }{5 = b \: \: \: \: \: \: \: \: \: \: } [/tex]

☆Now that we have the slope and y-intercept. We just need to put them together.

☆y = 2x + 5


Related Questions

1/2(7x- 6) = 6x – 10.

Answers

Answer:

Hopes this answer your question :)

Step-by-step explanation:

Please help please....

Answers

Answer:

Step 3

Step-by-step explanation:

They didn't subtract the 1 on the right side making it equivalent

Safe wheelchair ramp specifications require about 4.75° maximum angle to be constructed with the ground. At a particular building, the owner is installing a wheelchair ramp that needs to rise 1 feet off the ground. The owner insists on constructing the angle with the ground at 3°. How much horizontal distance will the ramp cover with these specifications?

Answers

Answer:

The ramp must cover a horizontal distance of approximately 19.081 feet.

Step-by-step explanation:

Given the vertical distance ([tex]y[/tex]), measured in feet, and the angle of the wheelchair ramp ([tex]\theta[/tex]), measured in sexagesimal degrees. The horizontal distance needed for the ramp ([tex]x[/tex]), measured in feet, is estimated by the following trigonometrical expression:

[tex]x = \frac{y}{\tan \theta}[/tex] (1)

If we know that [tex]y = 1\,ft[/tex] and [tex]\theta = 3^{\circ}[/tex], then the horizontal distance covered by this ramp is:

[tex]x = \frac{1\,ft}{\tan 3^{\circ}}[/tex]

[tex]x \approx 19.081\,ft[/tex]

The ramp must cover a horizontal distance of approximately 19.081 feet.

3 type of different triangles

Answers

Answer:

read below

Step-by-step explanation:

equilateral

isosceles

scalene

Determine the domain on which the following function is decreasing.

(Please include an explanation)

Answers

the way I remember domain(the distance where x is shown) and range(the distance where y is shown) is that it lines up with an ordered pair. It sounds wrong to say range and domain, just like it sounds wrong to say y,x.

the answer for this would be [0,11]

NEED HELP ASAP PLZZZZZZZZZZ!!!!!!!!!!!!!!!!!!!!!
A conference is expecting between 640 and 1,088 attendees. The conference is serving pizza for lunch. If the conference must order 8 pizzas per 32 attendees, approximately how many pizzas should the conference order?

A.

27 pizzas

B.

13,824 pizzas

C.

56 pizzas

D.

216 pizzas

Answers

Answer:

D 216 pizzas

Step-by-step explanation:

if there expecting 1,088 I would say that's 56 pizzas

If a proportional relationship has a constant of proportionality of 6, what is a point that lies on the graph of
the line representing the relationship?

Answers

Answer:

(0,0) (1,6) (2,12)

Step-by-step explanation:

Proportional relationships are also known as direct variation, so I'll refer to it as DV.

The formula for finding DV is y=kx.

In this case, k=6, which is just y=6x. So, essentially..

(0,0) (1,6) (2,12) etc.

The points that lies on the graph of the line representing the relationship are (0, 0), (1, 60, and (2, 12).

What is Constant of Proportionality?

If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.

Given:

As, we know that the constant proportionality have

y= k x

where k is constant of proportionality.

We have given that constant of proportionality = 6

So, y= 6x

Now, when x=0

y=0

and, x=1

y= 6

and, x=2

y= 12

Hence, the points are (0, 0), (1, 60, and (2, 12).

Learn more about Constant of Proportionality here:

https://brainly.com/question/29126727

#SPJ2

If a line has a slope of 9/5. If one of the points on the line is (-10, -16), which could be another point?

Answers

Answer:

(–5, –7)

Step-by-step explanation:

From the question given above, the following data were obtained:

Slope = 9/5

Coordinate 1 = (–10, –16)

x₁ = –10

y₁ = –16

Coordinate 2 = (x₂, y₂)

Next, we shall determine the change in x and y coordinate. This can be obtained as follow:

Slope = change in y–coordinate / change in x–coordinate

Slope = Δy / Δx

Slope = 9/5

9/5 = Δy / Δx

Thus,

Δy = 9

Δx = 5

Next, we shall determine the second coordinates as follow:

Δy = y₂ – y₁

Δx = x₂ – x₁

For x–coordinate:

x₁ = –10

Δx = 5

Δx = x₂ – x₁

5 = x₂ – (–10)

5 = x₂ + 10

Collect like terms

x₂ = 5 – 10

x₂ = – 5

For y–coordinate:

y₁ = –16

Δy = 9

Δy = y₂ – y₁

9 = y₂ – (–16)

9 = y₂ + 16

Collect like terms

y₂ = 9 – 16

y₂ = – 7

Coordinate 2 = (x₂, y₂)

Coordinate 2 = (–5, –7)

Please help its my last question

Answers

Answer:

Step-by-step explanation:

Acute as it is less than 90 degrees

Answer:

acute

Step-by-step explanation:

its less than 90 see the image


Function: Yes or no

{(-3,4),(-2,5),(0,0),(-2,5),(4,8)}

Answers

Answer:

Yes.

Step-by-step explanation:

Every input has a specific output.

ima say yes but I may not be correct if somebody else answers chose them and let me be your last chose ;-;

Can someone help. Will award if correct.

Answers

Answer:

Shari is correct

Step-by-step explanation:

Here, we want to select the correct translation of the graphed function

9 spaces down (vertically on y-axis) and 4 spaces right, to the positive x axis

What we have here means we go 9 units down, subtracting 9 from the y-value(f (x)) and adding 4 to x

The correct answer is;

f(x) = -2(7/10)^(x + 4) - 9

If x(x - 3) = 0, what are the two values of x that would make the statement 10 points
true?

Answers

Answer:

0 & 3

Step-by-step explanation:

First x is by itself so the root is 0

Second is 3 because you set x-3=0 and add 3 to the other side so x=3

Answer:

0 and 3

Step-by-step explanation:

You need to find the root of the equation, which would be 0, and 3.

To find the root, all you do is solve for x.

a + 3 + 2a = - 1 + 3a + 4 solve for A

Answers

Answer:

A=0

Step-by-step explanation:

a + 3 + 2a = - 1 + 3a + 4

a+2a-3a=-1+4-3

3a-3a=0.

0=0

Select all tables that represent a proportional relationship between X and Y

Answers

Answer:

The 'constant of proportionality k' DOES NOT remain constant for all the points in the table.

Therefore, the table DOES NOT represent a proportional relationship between X and Y.

Step-by-step explanation:

We know that when y varies directly with x, we get

y ∝ x

y = kx

k = y/x

where k is called the 'constant of proportionality'.

Given the table

x         0          5           10             15

y         2         17           32             47

Let us calculate the k value for all the points

FOR (0, 2)

k = y/x

substitute x = 0, and y = 2

k = 2 / 0 = ∞

FOR (5, 17)

k = y/x

substitute x = 5, and y = 17

k = 17/5

k = 3.4

FOR (10, 32)

k = y/x

substitute x = 10, and y = 32

k = 32/10

k = 16/5

k = 3.2

FOR (15, 47)

k = y/x

substitute x = 15, and y = 47

k = 47/15

k = 3.1

It is clear that the 'constant of proportionality k' DOES NOT remain constant for all the points in the table.

Therefore, the table DOES NOT represent a proportional relationship between X and Y.

(4x + 5x) + 6x = 4x + (5x + 6x)

Answers

Answer:

9x=15x

Step-by-step explanation:

This is not correct

Answer:

it's correct

Step-by-step explanation:

(4x + 5x) + 6x = 4x + (5x + 6x)

9x+6x = 4x+ 11x

15x=15x

proved ✓✓

Two students flipped a coin 100 times and recorded the results. Find the experimental probability of flipping the coin and getting tails.

Answers

Answer:

I'm not too sure about this one, but I think it's 36% since that's

how many they got when they flipped the coin. In reality, it's 50% for both sides.

find unit rate for me pls ? which check marks which box

Answers

Answer:

the answers are

60

90

30

30

60

Please help me with this math problem, 20 points!

Answers

Answer:

The first one

Step-by-step explanation:

please answer the question :(

Answers

ANSWER:
y = -4/3x + 2

EXPLANTION:
The line is going down, so that’s means the slope is negative.
The line goes down 4 and right 3 that means the slope is 4/3
The line cross positive 2 on the y-intercept (0,2), so 2 is the y intercept.
Putting these information together is your answer :)

FUN FACT:
These are the 4 types of slopes

I hoped this help and have a *AMAZING* day :3

Answer:

y = (- 4/3) x + 2

Step-by-step explanation:

Remark

The y intercept is (0,2)

The other point is you could use is (3,-2)

First find the slope

The two given points are (0,2) and (3,-2)

Givens

y2 = - 2

y1 = 2

x2 = 3

x1 = 0

Formula

m = (y2 - y1)/(x2 - x1)

Solution for m

m = (-2 - 2)/(3-0)

m = -4/3

Solution for the line

m = - 4/3

y intercept = 0,2

y = mx + b

y = (- 4/3) x + 2

Someone please help me ?:)

Answers

9514 1404 393

Answer:

  (c)  6 inches

Step-by-step explanation:

The ratio ...

  1 in : 2 ft

can be multiplied by 6 to find the length corresponding to 12 ft:

  6×1 in : 6×2 ft

  6 in : 12 ft

The ceiling height in the model is 6 inches.

Show work!!!!!!!!!!!!!!!!

Answers

33.5 - 21.9 = 11.6 this is the answer to your question

Chris plays basketball every 2 days and football every 5 days. The last day he played both sports on the same day was on June 13th. What is the next day in June that he will play both basketball and football on the same day?

Answers

Answer:

They will both occur on the 28th of june.

Step-by-step explanation:

This will happen bc you are trying to find same multiples of the two numbers

2 x 5 = 15

3 x 5 = 15

add 15 to 13 and you will get your date.

Lucy paid $45 for a new sweater that was on sale. It was on sale for 25% off the original price. How much was the original price of the sweater?
Please give an explanation please please please

Answers

Answer:

it was 33.75

Step-by-step explanation:

pls help!!
(don’t mind the circles on the numbers)
pls try them all, but ill be okay even if you just try one or however many.

Answers

Answer: 35. The equation would be y = 17/2x

Answer:

32) yes, linear

33) no

34) yes

Step-by-step explanation:

32) if you look at the difference in the y-values and the difference of the x-values you will see that they all equal 3; for example, 24/8, 21/7, 18/6

33) following same method as for #32, there is not a consistent ratio of change between x-and-y values

34) yes, constant ratio is 10

Sophie earns 6% interest from her bank. If she has $456 in the bank, how much interest will she earn?

Answers

Sophie would earn $27.36 from interest because 456 divided by 0.06 equals 27.36

What is the difference between (-10)² & -10²? What are the values for each expression?

Answers

Answer:

(-10)² = 100

-10² = -100

Difference = 200

Step-by-step explanation:

For the individual expressions;

(-10)² = -10 * -10

(-10)²  = +100

For -10²

-10² = -(10*10)

-10² = -100

Taking the difference;

(-10)² - (-10²) = 100 - (-100)

(-10)² - (-10²) = 100 + 100

(-10)² - (-10²) = 200

Hence the difference is 200

In a pack of pretzel sticks , 1/4 number of the total number pretzel sticks is 14. Write and solve an equation to find the total number of pretzel sticks in the pack "x"

Answers

if i’m reading this right, the equation would be: x=14x4. because if 1/4 of the bag of pretzel sticks is 14, then you’ll need to multiply 14 by 4 to get the rest of the bag.

5x to the second power-13x +6
guys answer only

Answers

Answer:

-138

Step-by-step explanation:

HELP ME W THIS PROBLEM PLEASE!!!!!

Answers

Answer:

d

Step-by-step explanation:

HELPPP it’s a test quest.. 20pts

Answers

Answer:

I think that the answer is A

Answer:

and because it was a test.

Step-by-step explanation:

that was the answer ok so for the mathematical errors. okay? undostands?

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