Question

1. consider the following two equations.

$y = -4x + 4$
$y = -4x - 2$
6a plot the two lines representing these equations on the graph below.

Explanation:

Step1: Identify slope-intercept form

Both equations use $y=mx+b$, where $m$ is slope, $b$ is y-intercept.
For $y=-4x+4$: $m=-4$, $b=4$
For $y=-4x-2$: $m=-4$, $b=-2$

Step2: Plot y-intercepts

• For $y=-4x+4$: Mark point $(0, 4)$
• For $y=-4x-2$: Mark point $(0, -2)$

Step3: Use slope to find 2nd points

Slope $m=-4=\frac{-4}{1}$, so move 1 right, 4 down from intercepts:

• From $(0,4)$: $(0+1, 4-4)=(1,0)$
• From $(0,-2)$: $(0+1, -2-4)=(1,-6)$

Step4: Draw lines

Connect $(0,4)$ & $(1,0)$; connect $(0,-2)$ & $(1,-6)$. Extend lines.

Answer:

The two parallel lines are plotted:

1. Line $y=-4x+4$ passes through $(0,4)$ and $(1,0)$
2. Line $y=-4x-2$ passes through $(0,-2)$ and $(1,-6)$