Question

This question has two parts. First, answer Part A. Then, answer Part B.

Part A
Total Value of Homes Sold
(millions of dollars)
REAL ESTATE The scatter plot shows the total value of the homes a real estate agent sold, in millions of dollars, in the first seven years since
he started selling homes.
Real Estate
Use the points (2, 2.5) and (6, 3.7) to write an equation of the line of fit in slope-intercept form. Let x be the number of years since the real
estate agent started selling homes and let y be the sales in millions of dollars.

Answer 1

Sure! To find the equation of the line of fit in slope-intercept form, we can use the formula: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using the given points (2, 2.5) and (6, 3.7):

m = (change in y) / (change in x)
= (3.7 - 2.5) / (6 - 2)
= 1.2 / 4
= 0.3

Now, let's use one of the points, (2, 2.5), and substitute it into the slope-intercept form equation:

2.5 = 0.3(2) + b

Simplifying the equation, we get:

2.5 = 0.6 + b

Now, let's solve for b:

b = 2.5 - 0.6
= 1.9

Therefore, the equation of the line of fit in slope-intercept form is:

y = 0.3x + 1.9