Question

drag the red and blue dots along the x-axis and y-axis to graph $2x + 4y = 12$.

Explanation:

Step1: Find x-intercept (y=0)

Set $y=0$ in $2x+4y=12$:
$$2x + 4(0) = 12$$
$$2x = 12$$
$$x = 6$$

Step2: Find y-intercept (x=0)

Set $x=0$ in $2x+4y=12$:
$$2(0) + 4y = 12$$
$$4y = 12$$
$$y = 3$$

Answer:

The red dot (x-intercept) should be at $(6, 0)$ on the x-axis, and the blue dot (y-intercept) should be at $(0, 3)$ on the y-axis.