Question

1. graph the following equation.

4x = 2y + 8

Explanation:

Step1: Rewrite to slope-intercept form

Isolate $y$:

$$\begin{align*} 4x &= 2y + 8 \\ 2y &= 4x - 8 \\ y &= 2x - 4 \end{align*}$$

Step2: Find y-intercept

Set $x=0$:
$$y = 2(0) - 4 = -4$$
Point: $(0, -4)$

Step3: Find x-intercept

Set $y=0$:

$$\begin{align*} 0 &= 2x - 4 \\ 2x &= 4 \\ x &= 2 \end{align*}$$

Point: $(2, 0)$

Step4: Plot points and draw line

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

Answer:

The graph is a straight line passing through the points $(0, -4)$ and $(2, 0)$, following the equation $y=2x-4$.