Question

What is the equation, in slope-intercept form, of the line that contains the points (-1, 8) and (4, 3)?

A. y = -x + 7
B. y = x - 7
C. y = x - 1
D. y = 7x - 1

Answer 1

A

Explanation:

Answer 2

A

Explanation:

To write the equation of a line, calculate the slope between points (-1,8) and (4,3). After, substitute the slope and a point into the point slope form.

`m = (y_2-y_1)/(x_2-x_1) = (8-3)/(-1-4)= (5)/(-5) = -1`

Substitute m = -1 and the point (4,3) into the point slope form.

`y - y_1 = m(x-x_1)\\y -3 = -1(x-4)\\y-3 = -1x +4\\\y = -x + 7`