Given the points (-2,1) and (3,-4): a) Find the slope of the line through the points. b) Write an equation in point-slope form of the through the points. c) Convert the equation to slope-intercept form. d) Convert the equation to standard form.

Damien Horton

Damien Horton

Answered question

2022-07-26

Given the points (-2,1) and (3,-4):
a) Find the slope of the line through the points.
b) Write an equation in point-slope form of the through the points.
c) Convert the equation to slope-intercept form.
d) Convert the equation to standard form.

Answer & Explanation

Arthur Gillespie

Arthur Gillespie

Beginner2022-07-27Added 10 answers

Step 1
Given points (-2,1) and (3,-4)
a) Slope = 4 1 3 + 2 = 5 5 = 1
Step 2
b) Poin-slope form
( y 1 ) = 1 ( x + 2 )
or ( y + 4 ) = 1 ( x 3 )
Step 3
c) Slope-into form
y 1 = 1 ( x + 2 )
y = x 1
Step 4
d) Standard form
x + y = 1

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