Question

graph the equation.
$y=2x+1$
use the graphing tool to graph the line. use the slope and y-intercept when drawing the line.
click to enlarge graph

Explanation:

Step1: Identify y-intercept

The equation $y=2x+1$ is in slope-intercept form $y=mx+b$, where $b$ is the y-intercept. Here, $b=1$, so the line crosses the y-axis at $(0, 1)$.

Step2: Identify slope

In $y=mx+b$, $m$ is the slope. Here, $m=2$, which is $\frac{2}{1}$, meaning for every 1 unit right in $x$, $y$ increases by 2.

Step3: Plot second point

From $(0,1)$, move 1 unit right to $x=1$, then 2 units up to $y=3$. This gives the point $(1, 3)$.

Step4: Draw the line

Connect the points $(0,1)$ and $(1,3)$, then extend the line across the grid.

Answer:

The line passes through points such as $(0,1)$ and $(1,3)$, extending infinitely in both directions on the coordinate grid.