Write a linear equation that is solved by both (-6,2) and (0,-4)

First, we need to determine the slope of the line. The slope can be found by using the formula:
m
=
y
2
−
y
1
x
2
−
x
1
Where
m
is the slope and (
x
1
,
y
1
) and (
x
2
,
y
2
) are the two points on the line.
Substituting the values from the points in the problem gives:
m
=
6
−
0
0
−
−
2
=
6
−
0
0
+
2
=
6
2
=
3
The point
(
0
,
6
)
is also the
y
intercept. Therefore we can use the slope-intercept formula to find an equation for the line. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
Where
m
is the slope and
b
is the y-intercept value.
Substituting the slope we calculated and the y-intercept gives:
y
=
3
x
+
6

Neither is the answer