Find the slope of the line between (
−
1
,
−
5
) and (
0
,
3
) using m
=
y
2
−
y
1/
2
−
x
1
, which is the change of y over the change of x
. Which gets you the slope of 8.
Use the slope 8 and a given point (
−
1
,
−
5
) 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
/2
−
x
1
.
y
−
(
−
5
)
=
(
8
)
(
x
−
(
−
1
))
Simplify the equation and keep it in point-slope form.
y
+
5
=
8
⋅
(
x
+
1
)
Solve for y
.
Find the slope of the line between ( − 1 , − 5 ) and ( 0 , 3 ) using m = y 2 − y 1/ 2 − x 1 , which is the change of y over the change of x . Which gets you the slope of 8.
Use the slope 8 and a given point ( − 1 , − 5 ) 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 /2 − x 1 .
y − ( − 5 ) = ( 8 ) ( x − ( − 1 ))
Simplify the equation and keep it in point-slope form. y + 5 = 8 ⋅ ( x + 1 ) Solve for y .
