Answer:
where m represents the slope and
(
x
1
,
y
1
)
a point on the line
here
m
=
−
5
4
and
(
x
1
,
y
1
)
=
(
−
8
,
−
5
)
substituting these values into the equation.
y
−
(
−
5
)
=
−
5
4
(
x
−
(
−
8
)
)
⇒
y
+
5
=
−
5
4
(
x
+
8
)
←
in point-slope form
distributing and simplifying gives the equation in an alternative form.
y
+
5
=
−
5
4
x
−
10
⇒
y
=
−
5
4
x
−
15
←
in slope-intercept form
Answer link
Explanation: