Question

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

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b=-2$. So the y-intercept is the point $(0, -2)$.

Step2: Use slope to find second point

Slope $m=\frac{3}{4}$, meaning rise 3, run 4. From $(0, -2)$, move 4 right and 3 up: $(0+4, -2+3)=(4, 1)$.

Step3: Plot points and draw line

Plot $(0, -2)$ and $(4, 1)$, then draw a straight line through them.

Answer:

The line $y=\frac{3}{4}x-2$ is graphed by plotting the y-intercept $(0, -2)$, using the slope to find a second point $(4, 1)$, and drawing a straight line through these two points.