Answer:
Explanation:
(
2
,
−
2
)
,
(
5
,
7
)
Find the slope of the line between
(
2
,
−
2
)
and
(
5
,
7
)
using
m
=
y
2
−
y
1
x
2
−
x
1
, which is the change of
y
over the change of
x
.
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m
=
3
Use the slope
3
and a given point
(
2
,
−
2
)
to substitute for
x
1
and
y
1
in the point-slope form
y
−
y
1
=
m
(
x
−
x
1
)
, which is derived from the slope equation
m
=
y
2
−
y
1
x
2
−
x
1
.
y
−
(
−
2
)
=
3
⋅
(
x
−
(
2
)
)
Simplify the equation and keep it in point-slope form.
y
+
2
=
3
⋅
(
x
−
2
)
Solve for
y
.
y
=
3
x
−
8
List the equation in different forms.
Slope-intercept form:
y
=
3
x
−
8
Point-slope form:
y
+
2
=
3
⋅
(
x
−
2
)