Question

graph this line using the slope and y-intercept:
y = 2x + 8
click to select points on the graph.

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b$ is the y-intercept. For $y=2x+8$, $b=8$, so the y-intercept point is $(0, 8)$.

Step2: Identify slope

In $y=mx+b$, $m$ is the slope. Here $m=2$, which is $\frac{2}{1}$ (rise over run).

Step3: Find second point

From $(0,8)$, move up 2 units and right 1 unit: $(0+1, 8+2)=(1,10)$. Or move down 2, left 1: $(0-1,8-2)=(-1,6)$.

Step4: Draw the line

Connect the points $(0,8)$, $(1,10)$, $(-1,6)$ and extend.

Answer:

The line passes through points like $(0, 8)$, $(1, 10)$, $(-1, 6)$ and extends infinitely in both directions. When graphed, it starts at the y-intercept $(0,8)$ and rises with a slope of 2.