I'm learning how to write equations of lines and I'm not sure how to answer this problem. can someone please help me?​

Answer:

a) y = 4/3x + 26/3

b) 4x - 3y + 26 = 0

c) x-int: (-6 1/2, 0)

   y-int: (0, 8 2/3)

Step-by-step explanation:

a) to get points into the point-slope form you first find the slope by taking the difference of the y-values over the difference of the x-values;

slope (m) = (6 - 2) / (-2 - -5)  =  4/3

plug 4/3 into 'm' and select one of the two points to plug in their 'x' and 'y' values so you can find 'b' (the y-intercept)

y = mx + b

6 = 4/3(-2) + b

6 = -8/3 + b

b = 6 + 8/3 = 18/3 + 8/3 or 26/3 (or 8.67)

so, put it all together to get the p-s form of y = 4/3x + 26/3

b) general equation is Ax + By + C = 0

take y = 4/3x + 26/3 and multiply each side by 3 to remove denominators

you get: 3y = 4x + 26;  rearrange to get 4x - 3y + 26 = 0

c) y-intercept is (0, 8 2/3); derived during step (a)

to get x-intercept, plug zero in for 'y' and solve for 'x':

0 = 4/3x + 26/3

-4/3x = 26/3

cross-multiply and get 12x = -78

x = -78/12 or -39/6 or -6 1/2

Answer:

[tex]n = \frac{1300}{5.50}[/tex]

[tex]n = 236[/tex]

Step-by-step explanation:

Given

The cost of printing one calendars [tex]= 5.5[/tex] dollars

The one time charge of taking photo [tex]= 200[/tex] dollars

The total sum of money with the club [tex]= 1500[/tex] dollars

The total sum of money going into printing of calendars [tex]= 1500 -200 = 1300[/tex] dollars

The total number of calendars that can be printed with remaining [tex]1300[/tex] dollars is equal to

[tex]n = \frac{1300}{5.50}[/tex]

[tex]n = 236[/tex]

Answer:

Step-by-step explanation:

cos²x = 1-sin²x = 1-(5/13)² = 144/169

cosx = √(144/169) = 12/13

tanx = sinx/cosx = (5/13)/(12/13) = (5/13)×(13/12) = 5/12

Answer:

check explanation for answers

Step-by-step explanation:

ratios are pretty much just simplified fractions

so just turn the numbers into a fraction and simplify them!

trumpets/violins are 5:3

flutes/clarinets are 17:13

trombones/trumpets are 2:5

violins/total instruments are 12:85

Answer:

c 0.561

Step-by-step explanation:

did the test on edge

The probability that more than 30% of the owners in the sample pay for someone to walk their dog is option c. 0.561.

Since 31% of dog owners pay for someone to walk their dogs. Morgan asks a random sample of 50 dog

So

= P> ( 0.30 - 0.31) / √0.31 (1 - 0.31)/ 50

= P(z > - 0.1530)

= 0.5608

= 0.561

Hence, the option c is correct.

learn more about probability here: https://brainly.com/question/24760080

9514 1404 393

Answer:

  (x, y) = (3, 12)

Step-by-step explanation:

Using the given variable definitions, we can write the equations ...

  y = x + 9

  2(x +y) = 30

__

Solving the second equation for y, we have ...

  y = 15 -x

Substituting this into the first equation gives ...

  15 -x = x +9

  6 = 2x . . . . . . . . . add x-9

  3 = x . . . . . . . . . . divide by 2

  y = 3+9 = 12 . . . . substitute into the first equation

The numbers are (x, y) = (3, 12).

Answer:

(x+5)^2

Step-by-step explanation:

(x+5)^2 Using the foil method 5+5=10 and 5x5=25

Answer:

x ≥ 7

Step-by-step explanation:

First, put the same terms on the same side. So subtract 5 from both sides. You will get:

-3x ≤ -21

Divide both sides by -3 to get x alone. When dividing, the inequality sign will change to the opposite. So it will go from a (less than or equal to) sign to a (greater than or equal to) sign.

You will get:

x ≥ 7

Therefore, x will be a number that is greater than or equal to 7.

Answer:

B

Step-by-step explanation:

because B is 8/20 and it's not equivalent to 40/100

Answer:

D

Step-by-step explanation:

it is a graph of [tex]x^{2}[/tex]

Answer:

D.) y=x2

Step-by-step explanation:

Look in pic above, on EDGE NUITY I always used to graph to find the answer

Answer:

it would be A

Step-by-step explanation:

divide it and that is -4 im not sure if u meant -4 or positive 4 other than that you cant get any other 4

Answer:

A-8/2

Step-by-step explanation:

Answer:

-3 and 1

Step-by-step explanation:

(x+3)(x-1)=0

x+3=0

x-1=0

x=-3

x=1

9514 1404 393

Answer:

  f(x) = -1/2·10^x

Step-by-step explanation:

The y-intercept is -1/2.

The common ratio is (-1/20)/(-1/200) = 10, so the exponential function can be written as ...

  f(x) = -1/2·10^x

Answer:

[tex]4.5[/tex]

Step-by-step explanation:

In order to find the answer to this question you will first need to convert Lincolns height into a improper fraction and then convert the improper fraction into a decimal number.

[tex]L =4\frac{5}{10}[/tex]

Convert into improper fraction

[tex]4\frac{5}{10} =10 \times4=40+5=45=\frac{45}{10}[/tex]

Convert into decimal by dividing the numerator by the denominator:

[tex]45\div10=4.5[/tex]

[tex]L=4.5[/tex]

Hope this helps.

Answer:

The answer is B

Step-by-step explanation:

I did the test and got it right

The integer that represents the altitude change is -40

From the question, the positions of the eagle are

70 feet above him and 30 feet above him

Rewrite the positions of the eagle properly

This is done as follows

Position 1 =  70

Position 3 =  30

The expression of the altitude change in the position of the eagle is then calculated as

Change = Position 2 - Position 1

Substitute the known values in the above equation

So, we have the following equation

Change = 30 - 70

Evaluate

Change = -40

Hence, the altitude change is -40

Read more about distance at

brainly.com/question/29116468

#SPJ1

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope-intercept equation for graph a:  y = -x + 1

standard-form equation for graph a:  x + y = 1

:::::

Slope of line through (0,-2) and (3,4) = (4-(-2))/(3-0) = 2

Slope-intercept equation for graph b:  y = 2x-2

Standard form:  2x-y = 2

Answer:

x=23

Step-by-step explanation:

132+128+4x+2+5x-11+4x-10=540

13x+241=540

13x=540-241

13x=299

x=23

Answer: plus and times

Step-by-step explanation: You can do 5.89x 4 or

5.89+5.89+5.89+another 5.89 so thoes are your two answers

The Answer will be 138.8675

Answer:

Step-by-step explanation:

equal

Answer:

0.38 x d + d

Step-by-step explanation:

the answer for ur question is

d+0.38d

1.38d