Question

6 graph $y = \frac{3}{2}x - 4$.

Explanation:

Step1: Identify slope and y-intercept

The equation $y=\frac{3}{2}x-4$ is in slope-intercept form $y=mx+b$, where $m=\frac{3}{2}$ (slope) and $b=-4$ (y-intercept).

Step2: Plot y-intercept point

The y-intercept is the point where $x=0$, so the point is $(0, -4)$.

Step3: Use slope to find second point

Slope $\frac{3}{2}$ means $\frac{\text{rise}}{\text{run}}=\frac{3}{2}$. From $(0, -4)$, move 2 units right (run) and 3 units up (rise) to get the point $(2, -1)$.

Step4: Draw line through points

Connect the points $(0, -4)$ and $(2, -1)$, then extend the line in both directions to cover the graph.

Answer:

The graph is a straight line passing through the points $(0, -4)$ and $(2, -1)$, extending across the coordinate plane.