Question

Write the equation of the line that passes through the points (-3,1) and (-5,8).Put your answer in fully reduced point-slope form

Answer 1

Answer:

y - 1 = -7/2 (x + 3 )

Explanation:

The point-slope form of a line is

$y-y_1=m(x-x_1)$

where (x_1, y_1) is a point on the line and m is the slope.

Let us first find the slope.

$m=\frac{\text{rise}}{\text{run}}=\frac{8-1}{-5-(-3)}$$m=-\frac{7}{2}$

A point on the line we are told is (-3, 1); thereofore, (x_1, y_1) = (-3, 1); hence

$y-1=-\frac{7}{2}(x+3)$