graph this line using the slope and y - intercept: y = 2x + 1 click to select points on the graph.

Explanation:

Step1: Identify slope and y - intercept

The equation is in slope - intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. For $y = 2x+1$, the slope $m = 2$ and the y - intercept $b = 1$.

Step2: Plot y - intercept

The y - intercept is the point where the line crosses the y - axis. So, plot the point $(0,1)$.

Step3: Use slope to find another point

The slope $m = 2=\frac{2}{1}$. Starting from the point $(0,1)$, move 1 unit to the right (increase $x$ by 1) and 2 units up (increase $y$ by 2) to get the point $(1,3)$.

Step4: Draw the line

Draw a straight line passing through the points $(0,1)$ and $(1,3)$.

Answer:

Graph the line passing through $(0,1)$ and $(1,3)$ on the given coordinate grid.