Answer:
C. y - 6= 3/5(x + 4).
Explanation:
y
=
m
x
+
c
−
6
=
(
4
×
3
5
)
+
c
c
=
−
12
5
−
6
=
−
42
5
So:
y
=
3
5
x
−
42
5
The point slope form comes from the definition of slope as a measure of the change in
y
for a given change in
x
in passing from point 1 to point 2, i.e.:
slope
=
m
=
Δ
y
Δ
x
=
y
2
−
y
1
x
2
−
x
1
...........(1).
The only difference here is that you do not have 2 points but only one!
So you have: the value of
m
and the coordinates of one point, say, point 1. So we can write in (1):
3
5
=
y
−
(
−
6
)
x
−
4
where the coordinates of the other point are the unknown
x
,
y
.
You get rearranging:
y
+
6
=
3
5
(
x
−
4
)
y
+
6
=
3
5
x
−
12
5
y
=
3
5
x
−
12
5
−
6
y
=
3
5
x
−
42
5