Which expression can be used to find the slope of a line containing the points (–3, 2) and (7, –1)?
Answer:
(−3,2)
and
(7,−1)
The Slope is equal to the change in
y
over the change in
x
, or rise over run.
m
=
change in y
change in x
The change in
x
is equal to the difference in x-coordinates (also called run), and the change in
y
is equal to the difference in y-coordinates (also called rise).
m=y2−
y1x2−x1
Substitute in the values of :
x and y
into the equation to find the slope :
m=− 1−(2)7−(−3)
Simplify.
Simplify the numerator.
Multiply :
−1 by 2.m= −1−27−(−3)
Subtract
2
from
−1.m= −37−(−3)
Simplify the denominator.
Multiply
−1 by −3.m= −37+3
Add
7
and
3.m= −310
Move the negative in front of the fraction.
m= −310
So once again you anwser is to :
Use the slope formula to find the slope
m.m
= −310