How do you write an equation in point-slope form for the given (-2, -1), (4, -4)?

Will Underwood

Will Underwood

Answered question

2022-09-25

How do you write an equation in point-slope form for the given (-2, -1), (4, -4)?

Answer & Explanation

edytorialkp

edytorialkp

Beginner2022-09-26Added 10 answers

Step 1: Find the slope of the line through (−2,−1) and (4,−4)
Given two points ( x 1 , y 1 ) and ( x 2 , y 2 ) the slope of the line through them is:
m = y 2 - y 1 x 2 - x 1

For the given values this becomes:
m = - 4 - ( - 1 ) 4 - ( - 2 ) = - 1 2

Step 2: Insert the calculated slope and one of the points into the general slope-point form
The general slope-point form is
y - y ^ = m ( x - x ^ )
for a line with slope m
through the point ( x ^ , y ^ )

Using (−2,−1) as ( x ^ , y ^ ) and the slope from Step 1:
y - ( - 1 ) = ( - 1 2 ) ( x - ( - 2 ) )

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