Question

At what point do the lines represented by the equations
y
=
3
x
+
1
and
y
=
−
2
x
−
8
intersect?
A.
(
1
,
−
8
)
B.
(
−
7
,
−
20
)
C.
(
2
,
−
3
)
D.
(
−
9
5
,
−
22
5
)

Answer 1

Set 3x + 1 = −2x − 8.
5x = −9, so x = −9/5.
y = 3(−9/5) + 1 = −27/5 + 5/5 = −22/5.

Intersection: (−9/5, −22/5) — choice D.