Question

graph the following features: - slope = 2 - y-intercept = -2

Explanation:

Step1: Write line equation

Using slope-intercept form $y=mx+b$, where $m=2$ (slope) and $b=-2$ (y-intercept):
$y=2x-2$

Step2: Plot y-intercept

The y-intercept is at $(0, -2)$; mark this point on the grid.

Step3: Use slope to find 2nd point

Slope $\frac{\Delta y}{\Delta x}=2=\frac{2}{1}$. From $(0,-2)$, move 1 right, 2 up to $(1, 0)$; mark this point.

Step4: Draw the line

Connect the two points and extend along the grid.

Answer:

The line $y=2x-2$ is graphed by plotting the y-intercept $(0, -2)$, using the slope to find a second point $(1, 0)$, then drawing a straight line through these points and extending it across the coordinate grid.