Question

1. -2x + y = -2

Explanation:

Step1: Rewrite the equation in slope - intercept form

Given $-2x + y=-2$, add $2x$ to both sides to get $y = 2x-2$.

Step2: Find the y - intercept

When $x = 0$, $y=2\times0 - 2=-2$. So the y - intercept is $(0,-2)$.

Step3: Find the x - intercept

When $y = 0$, $0=2x - 2$. Add 2 to both sides: $2=2x$. Then divide by 2, $x = 1$. So the x - intercept is $(1,0)$.

Step4: Plot the points and draw the line

Plot the points $(0,-2)$ and $(1,0)$ on the coordinate plane and draw a straight line passing through them.

Answer:

The graph of the line $y = 2x - 2$ has a y - intercept at $(0,-2)$ and an x - intercept at $(1,0)$ and is a straight line with slope 2.