Question

1. $y = -4 + \frac{6}{5}x$

Explanation:

Step1: Identify y-intercept

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

Step2: Use slope to find 2nd point

Slope $m=\frac{6}{5}$, meaning $\frac{\text{rise}}{\text{run}}=\frac{6}{5}$. Starting from $(0, -4)$, move 5 right and 6 up: $(0+5, -4+6)=(5, 2)$.

Step3: Plot and connect points

Mark $(0, -4)$ and $(5, 2)$ on the grid, then draw a straight line through them, extending beyond both points.

Answer:

The line passes through points (0, -4) and (5, 2), and extends infinitely in both directions.