Question

graph the following features: • y-intercept = -6 • slope = 2

Explanation:

Step1: Write line equation

Using slope-intercept form $y=mx+b$, where $m=2$ (slope) and $b=-6$ (y-intercept):
$y=2x-6$

Step2: Plot y-intercept

Mark the point $(0, -6)$ on the y-axis.

Step3: Use slope for second point

Slope $\frac{\Delta y}{\Delta x}=2=\frac{2}{1}$: from $(0,-6)$, move 1 right, 2 up to $(1, -4)$.

Step4: Draw the line

Connect $(0,-6)$ and $(1,-4)$, extend infinitely in both directions.

Answer:

The line $y=2x-6$ is graphed by plotting the y-intercept $(0, -6)$, using the slope to find a second point $(1, -4)$, then drawing a straight line through these points.