Question

2 graph $4x - 8y = 16$ using the x-and y-intercepts. line (graph grid with x from -10 to 10, y from -8 to 10)

Explanation:

Step1: Find x-intercept (set $y=0$)

Substitute $y=0$ into $4x - 8y = 16$:
$$4x - 8(0) = 16$$
$$4x = 16$$
$$x = 4$$
The x-intercept is $(4, 0)$.

Step2: Find y-intercept (set $x=0$)

Substitute $x=0$ into $4x - 8y = 16$:
$$4(0) - 8y = 16$$
$$-8y = 16$$
$$y = -2$$
The y-intercept is $(0, -2)$.

Step3: Plot and connect points

Plot the points $(4, 0)$ and $(0, -2)$ on the coordinate plane, then draw a straight line through them.

Answer:

The line passes through the x-intercept $(4, 0)$ and y-intercept $(0, -2)$; connecting these points gives the graph of $4x - 8y = 16$.