Question

graph the line that passes through the points (3, -8) and (3, 3) and determine the equation of the line.

Explanation:

Step1: Identify x-coordinate pattern

Both points have $x=3$.

Step2: Classify the line type

A line with constant $x$ is vertical.

Step3: Write the line equation

Vertical lines have form $x=a$, here $a=3$.

Answer:

The equation of the line is $\boldsymbol{x=3}$.
To graph it: Plot the points $(3, -8)$ and $(3, 3)$ on the coordinate grid, then draw a straight vertical line passing through both points (this line will run parallel to the y-axis and intersect the x-axis at $(3,0)$).