2. Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.

Answer:

y=x

Step-by-step explanation:

By using the (y2-y1)/(x2-x1), you can find y=mx+b

Points: (30,30) and (60,60)

(60-30)/(60-30)= 30/30=1

Your m value (slope) is 1.

For the y-intercept, your value is 0

The full answer is y=x

As per linear equation, the required equation of the given graph is y = x.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Here, the graph is a straight line.

Therefore, the equation of the given graph must be a straight line.

Again, the graph passes through points (30, 30) and (60, 60).

Therefore, the slope(m) of the given straight line is

[tex]= \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\= \frac{60-30}{60-30}\\ = \frac{30}{30}\\ = 1[/tex]

The graph of the straight line passes through the point (30, 30).

Putting this value in the standard equation(y = mx + c), we get:

30 = (1)(30) + c

⇒ c = 0

Therefore, the y-intercept of the straight line is 0.

Now, the required equation of the straight line is

y = mx + c

⇒ y = (1)x + 0

⇒ y = x

Learn more about a linear equation here: brainly.com/question/11897796

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