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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?

AThe rise is –5, the run is 4.
BThe rise is –4, the run is –5.
CThe run is –5, the rise is 4.
DThe run is 4, the rise is 5.

Verified Answer :

caylus

Hello,

C is the good answer.

Δy=-1-4=-5 is the rise

Δx=2+2=4 is the run.

JeanaShupp

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


Step-by-step 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.

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