Question

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

Explanation:

Step1: Find the y - intercept

Set $x = 0$. Then $y=-\frac{1}{3}(0)-2=- 2$. 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, 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 $(-6,0)$.