Question

graph $y = 2x + 8$.

Explanation:

Step1: Identify y-intercept

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

Step2: Identify slope

The slope $m=2$, which is $\frac{2}{1}$. This means for every 1 unit increase in $x$, $y$ increases by 2 units.

Step3: Find a second point

Starting from $(0,8)$, move 1 unit right (increase $x$ by 1) and 2 units up (increase $y$ by 2) to get the point $(1, 10)$. Alternatively, move 4 units left (decrease $x$ by 4) and 8 units down (decrease $y$ by 8) to get the x-intercept: set $y=0$, solve $0=2x+8$ → $2x=-8$ → $x=-4$, so the point $(-4, 0)$.

Step4: Draw the line

Plot the points $(0,8)$ and $(-4,0)$, then draw a straight line through them that extends across the entire grid.

Answer:

The line passes through points $(0, 8)$ and $(-4, 0)$, and extends infinitely in both directions along the grid.