Question

The graphs
y
=
3
5
x
+
1
and y = –2 are shown in the coordinate plane below.

Which coordinate point satisfies both equations?




(–5, –2)


(–2, –5)


(–2, –2)


(0, –2)

Answer 1

Set y = -2 in y = (3/5)x + 1:
-2 = (3/5)x + 1 → -3 = (3/5)x → x = -3 * (5/3) = -5.
So the intersection is (−5, −2).