Question

sketch the graph of each line. 9) $y = 2x + 2$

Explanation:

Step1: Identify slope and y-intercept

The equation $y=2x+2$ uses slope-intercept form $y=mx+b$, where slope $m=2$ and y-intercept $b=2$.

Step2: Plot the y-intercept

The y-intercept is the point where $x=0$, so plot $(0, 2)$ on the grid.

Step3: Use slope to find a second point

Slope $m=2=\frac{2}{1}$, meaning move 2 units up and 1 unit right from $(0,2)$ to get $(1, 4)$. Plot this point.

Step4: Draw the line

Connect the two points $(0,2)$ and $(1,4)$, then extend the line across the grid in both directions.

Answer:

The graph is a straight line passing through points $(0, 2)$ and $(1, 4)$, extending across the provided coordinate grid.