graph the line.\ny = 2x + 1

Explanation:

Step1: Find the y - intercept

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

Step2: Find another point using the slope

The slope $m = 2=\frac{\Delta y}{\Delta x}$. Starting from the y - intercept $(0,1)$, if we increase $x$ by 1 ($\Delta x=1$), then $\Delta y = 2$. So when $x = 1$, $y=2\times1 + 1=3$. So another point is $(1,3)$.

Step3: Plot the points and draw the line

Plot the points $(0,1)$ and $(1,3)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points $(0,1)$ and $(1,3)$ and draw a straight - line through them on the given coordinate grid.