 # 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 2022-07-26 Answered
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.
You can still ask an expert for help

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it Arthur Gillespie
Step 1
Given points (-2,1) and (3,-4)
a) Slope $=\frac{-4-1}{3+2}=-\frac{5}{5}=-1$
Step 2
b) Poin-slope form
$\left(y-1\right)=-1\left(x+2\right)$
or $\left(y+4\right)=-1\left(x-3\right)$
Step 3
c) Slope-into form
$y-1=-1\left(x+2\right)$
$⇒y=-x-1$
Step 4
d) Standard form
$x+y=-1$

We have step-by-step solutions for your answer!