Question

graph the line.
$y = 2x + 1$

Explanation:

Step1: Identify y-intercept

The equation $y=2x+1$ is in slope-intercept form $y=mx+b$, where $b=1$. So the y-intercept is the point $(0, 1)$.

Step2: Use slope to find next point

The slope $m=2$, which is $\frac{2}{1}$. From $(0,1)$, move 1 right and 2 up to get $(1, 3)$.

Step3: Find additional points

Repeat the slope movement: from $(1,3)$, move 1 right and 2 up to get $(2, 5)$; from $(2,5)$ get $(3,7)$, etc.

Step4: Plot and connect points

Mark the points $(0,1)$, $(1,3)$, $(2,5)$, $(3,7)$ on the grid, then draw a straight line through them that extends to the edges of the graph.

Answer:

The line passes through points (0, 1), (1, 3), (2, 5), (3, 7), etc., and extends across the provided grid.