Question

graph $y = x - 1$ and $y = 3x + 1$. how many times do the two graphs intersect?
(graph: a coordinate grid with x from -6 to 6 and y from -6 to 6, axes labeled x and y. below the graph are multiple - choice options: 1, 3, 0, 2)

Explanation:

Step1: Set equations equal

$x - 1 = 3x + 1$

Step2: Solve for x

$x - 3x = 1 + 1$
$-2x = 2$
$x = -1$

Step3: Find corresponding y

$y = (-1) - 1 = -2$

Step4: Count intersection points

The lines intersect at $(-1, -2)$, so there is 1 intersection.

Answer:

1