Question

1. graph the equation $y = -\frac{1}{3}x$

Explanation:

Step1: Identify the form

The equation $y = -\frac{1}{3}x$ is in slope-intercept form $y = mx + b$ where $m = -\frac{1}{3}$ (slope) and $b = 0$ (y-intercept).

Step2: Plot the y-intercept

Since $b = 0$, the line passes through the origin $(0, 0)$.

Step3: Use slope to find another point

Slope $m = \frac{\Delta y}{\Delta x} = -\frac{1}{3}$. From $(0,0)$, move 3 units right ($\Delta x = 3$) and 1 unit down ($\Delta y = -1$) to get $(3, -1)$.

Step4: Draw the line

Connect $(0,0)$ and $(3, -1)$ with a straight line extending in both directions.

(Note: To graph, mark these points on the provided grid and draw the line through them.)

Answer:

The graph is a straight line passing through the origin with slope $-\frac{1}{3}$.