Write an equation in point-slope form for the given (–2, 1) and (4, 13)

djo57bgfrqn

djo57bgfrqn

Answered question

2022-10-30

Write an equation in point-slope form for the given (–2, 1) and (4, 13)

Answer & Explanation

driogairea1

driogairea1

Beginner2022-10-31Added 16 answers

Given two points ( x 1 , y 1 ) and ( x 2 , y 2 ) , then the slope m of a line through those two points is given by the formula:
m = Δ y Δ x = y 2 - y 1 x 2 - x 1
In our case, let ( x 1 , y 1 ) = ( - 2 , 1 ) and ( x 2 , y 2 ) = ( 4 , 13 ) . Then:
m = 13 - 1 4 - ( - 2 ) = 12 6 = 2
Then point slope form for a line is:
y - y 0 = m ( x - x 0 ) where m is the slope and ( x 0 , y 0 ) is some point on the line. To avoid double minus signs, let's use the second point (4,13) to get:
y−13=2(x−4)

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