Question

A line in the Cartesian plane passes through the points (–2, 4) and (2, –1). What are the rise and the run of the line?

a. The rise is –5, the run is 4.
b. The rise is –4, the run is –5.
c. The run is –5, the rise is 4.
d. The run is 4, the rise is 5.

Answer 1

Hello,

C is the good answer.

Δy=-1-4=-5 is the rise

Δx=2+2=4 is the run.

Answer 2

Answer: a. The rise is –5, the run is 4.

Explanation:

Given :- A line in the Cartesian plane passes through the points (–2, 4) and (2, –1)

Let
`(x_1,y_1)=(-2,4)` and
`(x_2,y_2)=(2,-1)`

We know that rise of a line = vertical change of points=change in the coordinates of y

=
`y_2-y_1=-1-4=-5`

Run of line=horizontal change of points=change in the coordinates of x

=
`x_2-x_1=2-(-2)=2+2=4`

Therefore, The rise is –5, the run is 4.