Question

graph the following features: • slope = -3/2 • y - intercept = 5

Explanation:

Step1: Recall slope - intercept form

The equation of a line in slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Given $m=-\frac{3}{2}$ and $b = 5$, the equation of the line is $y=-\frac{3}{2}x + 5$.

Step2: Plot the y - intercept

The y - intercept is the point where the line crosses the y - axis. Since $b = 5$, plot the point $(0,5)$.

Step3: Use the slope to find another point

The slope $m=-\frac{3}{2}=\frac{\text{rise}}{\text{run}}$. From the point $(0,5)$, since the rise is $- 3$ (down 3 units) and the run is 2 (right 2 units), we get to the point $(2,2)$.

Step4: Draw the line

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

Answer:

Graph a line passing through the points $(0,5)$ and $(2,2)$ on the given coordinate grid.