Answer:
The general format for the point-intercept quation is
y
=
m
x
+
b
Where
m
=
slope and
b
=
y-intercept
Given the slope is
2
, the equation now looks like
y
=
2
x
+
b
Given
P
(
−
1
,
4
)
we can solve for the
b
variable by substituting the
x
and
y
cordinates.
4
=
2
⋅
(
−
1
)
+
b
4
=
−
2
+
b
b
=
6
Therefore the equation that has the slope of
2
and passes through the point
(
−
1
,
4
)
is
y
=
2
x
+
6
Here's a graphical look,
graph{2x+6 [-10, 10, -5, 10]}
Explanation: