What is the slope of the line passing through the points (−3, 4) and (2, −1) ?

Hey there!

You can find the slope by using this equation:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

It doesn't matter what order you use the points in as long as the x's and y's are in the right place.

[tex]y_2=-1 \\ y_1=4 \\ x_2=2 \\ x_1=-3[/tex]

Just plug your numbers into the equation and solve.

[tex]\frac{-1-4}{2-(-3)}[/tex]
[tex]\frac{-5}{5}[/tex]
[tex]-1[/tex]

The slope is –1.

Hope this helped you out! :-)

Answer Link

EmileN EmileN · Answer 2 · 2017-10-10T20:19:52+02:00

Let be the points A(-3;4) and B(2;-1) and a the slope.
To find the slope using the coordinates of 2 points, we apply the formula:
a = Δy / Δx

Δy represents the subtraction of the the y coordinates of the 2 points (in here yB - yA) and Δx the subtraction of the x coordinates of the 2 points (in here xB - xA).

So:
a = Δy / Δx
= (yB - yA) / (xB - xA)
= (-1 - 4) / ( 2 - (-3) )
= -5 / 5
= -1

So the slope of the line passing through the points (-3;4) and (2;-1) is a= -1

Hope this helps! :)