Question

exercises
graph each equation by using t

1. 2x + y = -2

Explanation:

Step1: Rewrite in slope - intercept form

We rewrite $2x + y=-2$ as $y=-2x - 2$. The slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Here $m=-2$ and $b = - 2$.

Step2: Find the y - intercept

When $x = 0$, from $y=-2x - 2$, we substitute $x = 0$ and get $y=-2(0)-2=-2$. So the line crosses the y - axis at the point $(0,-2)$.

Step3: Use the slope to find another point

The slope $m=-2=\frac{\Delta y}{\Delta x}$. Starting from the point $(0,-2)$, if we move 1 unit to the right ($\Delta x = 1$), then $\Delta y=-2$. So the new point is $(0 + 1,-2-2)=(1,-4)$.

Step4: Draw the line

Plot the points $(0,-2)$ and $(1,-4)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points $(0,-2)$ and $(1,-4)$ and draw a straight - line through them to graph $y=-2x - 2$.