Question

1. graph the following features: - slope = 1/3 - y-intercept = -4

Explanation:

Step1: Write slope-intercept equation

The slope-intercept form is $y=mx+b$, where $m$ is slope and $b$ is y-intercept. Substitute $m=\frac{1}{3}$ and $b=-4$:
$y=\frac{1}{3}x - 4$

Step2: Plot y-intercept

The y-intercept is $-4$, so plot the point $(0, -4)$ on the graph.

Step3: Use slope to find next point

Slope $\frac{1}{3}$ means $\frac{\text{rise}}{\text{run}}=\frac{1}{3}$. From $(0, -4)$, move up 1 unit and right 3 units to get the point $(3, -3)$. Plot this point.

Step4: Draw the line

Connect the plotted points $(0, -4)$ and $(3, -3)$, then extend the line across the grid in both directions.

Answer:

The line $y=\frac{1}{3}x - 4$ is graphed by first plotting $(0, -4)$, then using the slope to find additional points, and drawing a straight line through them.