Question

Find the point of intersection of the lines:

y
=
4
x
+
1
and
y
=
−
2
x
+
4
A.
(
2
,
9
)
B.
(
1
2
,
3
)

C.
(
1
,
2
)
D.
(
1
4
,
2
)

Answer 1

Set 4x + 1 = −2x + 4. Then 6x = 3 so x = 1/2. Substitute: y = 4(1/2) + 1 = 3. Intersection is (1/2, 3). Answer: B.