Question

graph the line that has a slope of 3 and includes the point (0, 6). click to select points on the graph.

Explanation:

Step1: Identify slope-intercept form

The slope-intercept formula is $y = mx + b$, where $m$ is slope, $b$ is y-intercept.

Step2: Plug in given values

We know $m=3$, and the point $(0,6)$ means $b=6$. Substitute to get:
$y = 3x + 6$

Step3: Find a second point

Use slope $\frac{\Delta y}{\Delta x}=3=\frac{3}{1}$. From $(0,6)$, move 1 right, 3 up: $(0+1, 6+3)=(1,9)$.

Step4: Plot and connect points

Mark $(0,6)$ and $(1,9)$, then draw a straight line through them extending across the grid.

Answer:

The line is defined by $y=3x+6$, plotted by marking points $(0, 6)$ and $(1, 9)$ (or other points from the equation) and drawing a straight line through them.