Question

graph the following features: • slope = 3/2 • y - intercept = - 2

Explanation:

Step1: Recall 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 $m=\frac{3}{2}$ and $b = - 2$, the equation of the line is $y=\frac{3}{2}x-2$.

Step2: Find the y - intercept point

The y - intercept is $b=-2$. So the line crosses the y - axis at the point $(0, - 2)$. Plot this point on the graph.

Step3: Use the slope to find another point

The slope $m = \frac{3}{2}=\frac{\text{rise}}{\text{run}}$. Starting from the point $(0,-2)$, since the rise is 3 and the run is 2, move 3 units up and 2 units to the right. We get to the point $(2,1)$.

Step4: Draw the line

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

Answer:

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