Question

1. $y = -\frac{1}{3}x - 2$ 5.

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=-\frac{1}{3}x - 2$, when $x = 0$, $y=-2$. So the line crosses the y - axis at the point $(0,-2)$.

Step2: Find the x - intercept

Set $y = 0$. Then $0=-\frac{1}{3}x - 2$. Add 2 to both sides: $2=-\frac{1}{3}x$. Multiply both sides by - 3 to solve for $x$, we get $x=-6$. So the line crosses the x - axis at the point $(-6,0)$.

Step3: Plot the points and draw the line

Plot the points $(0,-2)$ and $(-6,0)$ on the coordinate plane and draw a straight line passing through them.

Answer:

The graph of the line $y =-\frac{1}{3}x - 2$ is a straight line passing through the points $(0,-2)$ and $(-6,0)$.