Question

graph $y = 2x + 1$ and $y = x + 1$. how many times do the two graphs intersect?
(the chart is a coordinate grid with x-axis from -6 to 6 and y-axis from -6 to 6, and there are four options: 0, 2, 1, 3)

Explanation:

Step1: Set equations equal

$2x + 1 = x + 1$

Step2: Solve for x

$2x - x = 1 - 1$
$x = 0$

Step3: Find corresponding y

$y = 0 + 1 = 1$

Step4: Count intersection points

The lines meet at $(0,1)$, so 1 intersection.

Answer:

1