graph the line.\ny = 3x + 2

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=3x + 2$, when $x = 0$, $y=2$. So plot the point $(0,2)$.

Step2: Find another point using the slope

The slope $m = 3=\frac{3}{1}$. From the point $(0,2)$, move 1 unit to the right (increase $x$ by 1) and 3 units up (increase $y$ by 3). We get the point $(1,5)$.

Step3: Draw the line

Connect the points $(0,2)$ and $(1,5)$ with a straight line. This line represents the graph of $y = 3x+2$.

Answer:

Graph the line by plotting the points $(0,2)$ and $(1,5)$ and connecting them.