graph the line with slope 3 and y - intercept 2.

Explanation:

Step1: Write the slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Given $m = 3$ and $b = 2$, the equation of the line is $y=3x + 2$.

Step2: Find the y - intercept point

The y - intercept is 2, so one point on the line is $(0,2)$. Plot this point on the graph.

Step3: Use the slope to find another point

The slope $m = 3=\frac{3}{1}$. Starting 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 $(1,5)$. Plot this point.

Step4: Draw the line

Draw a straight line passing through the points $(0,2)$ and $(1,5)$.

Answer:

Graph a line passing through the points $(0,2)$ and $(1,5)$.