Questions: Graph the linear function using the slope and (y)-intercept. [y=4/3 x-3] Use the graphing tool to graph the linear equation. Use the slope and the (y)-intercept when drawing the line. Click to enlarge graph

Graph the linear function using the slope and (y)-intercept.
[y=4/3 x-3]

Use the graphing tool to graph the linear equation. Use the slope and the (y)-intercept when drawing the line.

Click to enlarge graph

Transcript text: Graph the linear function using the slope and $y$-intercept. \[ y=\frac{4}{3} x-3 \] Use the graphing tool to graph the linear equation. Use the slope and the $y$-intercept when drawing the line. Click to enlarge graph

Solution

Solution Steps

Step 1: Identify the slope and y-intercept

The given linear equation is $ y = \frac{4}{3}x - 3 $. The slope (m) is $\frac{4}{3}$ and the y-intercept (b) is -3.

Step 2: Plot the y-intercept

Locate the y-intercept on the graph. The y-intercept is the point where the line crosses the y-axis. For this equation, the y-intercept is -3. Plot the point (0, -3) on the graph.

Step 3: Use the slope to find another point

The slope $\frac{4}{3}$ means that for every 3 units you move to the right (positive direction on the x-axis), you move 4 units up (positive direction on the y-axis). Starting from the y-intercept (0, -3), move 3 units to the right to (3, -3), then move 4 units up to (3, 1). Plot the point (3, 1).