Question

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

Answer 1

Answer:

A

Step-by-step 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.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{8-3}{-1-4}= \frac{5}{-5} = -1$

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

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