Question

graph: 4x + 2y = 8

Explanation:

Step1: Find x-intercept (y=0)

Set $y=0$, solve for $x$:
$$4x + 2(0) = 8$$
$$4x = 8$$
$$x = 2$$
x-intercept: $(2, 0)$

Step2: Find y-intercept (x=0)

Set $x=0$, solve for $y$:
$$4(0) + 2y = 8$$
$$2y = 8$$
$$y = 4$$
y-intercept: $(0, 4)$

Step3: Rewrite in slope-intercept form

Isolate $y$ to confirm slope:
$$2y = -4x + 8$$
$$y = -2x + 4$$
Slope: $-2$

Answer:

Plot the x-intercept $(2, 0)$ and y-intercept $(0, 4)$ on the coordinate plane, then draw a straight line through these two points. This line represents the graph of $4x + 2y = 8$.