Question

Whats an equation for (0,75) (7,40) in slope intercept form

Answer 1

The slope-intercept form: y = mx + b.

m - slope, b - y-intercept

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (0, 75) → y-intercept (b = 75), and (7, 40).

Substitute the coordimates of the points to the formula of a slope:

$m=\dfrac{40-75}{7-0}=\dfrac{-35}{7}=-5$

Answer: y = -5x + 75.