graph the linear function using the slope and the y - intercept. y = 3x + 6 use the graphing tool to graph…

Explanation:

Step1: Identify y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y = 3x+6$, the y - intercept is 6. So, plot the point $(0,6)$ on the y - axis.

Step2: Identify slope

The slope $m = 3=\frac{3}{1}$. From the y - intercept point $(0,6)$, use the slope to find another point. Move 1 unit to the right (increase $x$ by 1) and 3 units up (increase $y$ by 3) to get the point $(1,9)$.

Step3: Draw the line

Draw a straight line passing through the points $(0,6)$ and $(1,9)$.

Answer:

Graph a line passing through $(0,6)$ and $(1,9)$ on the given coordinate grid.