Question

1. $y = \frac{4}{3}x - 4$

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b$ is the y-intercept. Here, $b=-4$, so the point is $(0, -4)$.

Step2: Use slope to find second point

Slope $m=\frac{4}{3}$, meaning rise 4, run 3. From $(0, -4)$, add 3 to $x$ and 4 to $y$: $(0+3, -4+4)=(3, 0)$.

Step3: Plot and connect points

Mark $(0, -4)$ and $(3, 0)$, then draw a straight line through them, extending across the grid.

Answer:

The line passes through points $(0, -4)$ and $(3, 0)$, and extends infinitely in both directions on the coordinate grid.