Question

graph the function $g(x) = \frac{4}{3}x + 1$.

Explanation:

Step1: Identify slope-intercept form

The function $g(x)=\frac{4}{3}x+1$ is in $y=mx+b$ form, where $m=\frac{4}{3}$ (slope) and $b=1$ (y-intercept).

Step2: Plot y-intercept

The y-intercept is at $(0,1)$; mark this point on the graph.

Step3: Use slope to find next point

Slope $\frac{4}{3}$ means rise 4, run 3. From $(0,1)$, move right 3 units and up 4 units to get $(3,5)$; mark this point.

Step4: Draw the line

Connect $(0,1)$ and $(3,5)$ with a straight line extending through both points.

Answer:

A straight line passing through (0,1) and (3,5) on the coordinate plane.