graph the following features: • slope = $\frac{3}{4}$ • y - intercept = - 2

Explanation:

Step1: Write the equation of the line

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Given $m=\frac{3}{4}$ and $b = - 2$, the equation is $y=\frac{3}{4}x-2$.

Step2: Plot the y - intercept

The y - intercept is the point where the line crosses the y - axis. The y - intercept $b=-2$, so plot the point $(0, - 2)$.

Step3: Use the slope to find another point

The slope $m = \frac{3}{4}=\frac{\text{rise}}{\text{run}}$. From the point $(0,-2)$, move 4 units to the right (run) and 3 units up (rise). This gives the point $(4,1)$.

Step4: Draw the line

Draw a straight line passing through the points $(0, - 2)$ and $(4,1)$.

Answer:

Graph a line passing through the points $(0,-2)$ and $(4,1)$ on the given coordinate plane.