Question

Use the points (2, 1190) and (7, 1350) to write an equation of the line of fit in slope-intercept form. Let x be the number of weeks, and let y be the sales in dollars.

A) y = 32x + 1126

B) y = 26x + 1170

C) y = 32x + 1150

D) y = 26x + 1126

Answer 1

The equation of the line of fit in slope-intercept form is y = 32x + 1126.

Step-by-step explanation:

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.

Given the points (2, 1190) and (7, 1350), we can calculate the slope using the formula:

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

Substituting the values, we get:

m = (1350 - 1190) / (7 - 2) = 160 / 5 = 32

Next, we can substitute one of the points and the calculated slope into the equation and solve for b:

y = mx + b

Using (2, 1190) and m = 32:

1190 = 32(2) + b

b = 1190 - 64 = 1126

Therefore, the equation of the line of fit in slope-intercept form is y = 32x + 1126.