Question

graph the following features:

• slope = 2
• y-intercept = $-2$

answer attempt 2 out of 2

Explanation:

Step1: Write line equation (slope-intercept)

The slope-intercept form is $y = mx + b$, where $m=2$ (slope) and $b=-2$ (y-intercept).
$y = 2x - 2$

Step2: Plot y-intercept

The y-intercept is the point where $x=0$, so the point is $(0, -2)$. Mark this on the graph.

Step3: Use slope to find second point

Slope $\frac{\text{rise}}{\text{run}} = \frac{2}{1}$. From $(0, -2)$, move up 2 units and right 1 unit to get the point $(1, 0)$. Mark this point.

Step4: Draw the line

Connect the two points $(0, -2)$ and $(1, 0)$, then extend the line across the entire coordinate plane.

Answer:

The line $y=2x-2$ is graphed by plotting $(0, -2)$ and $(1, 0)$, then drawing a straight line through these points and extending it.