graph the following features: • slope = 3/2 • y - intercept = -1

Explanation:

Step1: Recall 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 $m=\frac{3}{2}$ and $b=-1$, the equation of the line is $y=\frac{3}{2}x - 1$.

Step2: Plot the y - intercept

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

Step3: Use the slope to find another point

The slope $m=\frac{3}{2}=\frac{\text{rise}}{\text{run}}$. From the point $(0,-1)$, move 2 units to the right (run) and 3 units up (rise). This gives the point $(2,2)$.

Step4: Draw the line

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

Answer:

The line with slope $\frac{3}{2}$ and y - intercept $-1$ is graphed by plotting the points $(0,-1)$ and $(2,2)$ and drawing a straight line through them.