Question

1. graph the following features:

• slope = $-\frac{5}{3}$
• y-intercept = $-2$

Explanation:

Step1: Write line equation

Using slope-intercept form $y=mx+b$, where $m=-\frac{5}{3}$ and $b=-2$:
$y = -\frac{5}{3}x - 2$

Step2: Plot y-intercept

Mark the point $(0, -2)$ on the graph.

Step3: Use slope for second point

Slope $\frac{\Delta y}{\Delta x}=-\frac{5}{3}$: from $(0,-2)$, move 3 right, 5 down to $(3, -7)$, or 3 left, 5 up to $(-3, 3)$. Mark this point.

Step4: Draw the line

Connect the two marked points and extend across the grid.

Answer:

The line $y = -\frac{5}{3}x - 2$ is graphed by plotting the y-intercept $(0, -2)$, using the slope to find a second point (e.g., $(3, -7)$ or $(-3, 3)$), then connecting and extending the points.