Question

drag the red and blue dots along the x-axis and y-axis to graph $-6x + 4y = 24$.

Explanation:

Step1: Find x-intercept (y=0)

Substitute \( y = 0 \) into \(-6x + 4y = 24\):
\(-6x + 4(0) = 24\)
\(-6x = 24\)
\( x = \frac{24}{-6} = -4 \)

Step2: Find y-intercept (x=0)

Substitute \( x = 0 \) into \(-6x + 4y = 24\):
\(-6(0) + 4y = 24\)
\( 4y = 24 \)
\( y = \frac{24}{4} = 6 \)

Step3: Adjust dots

The red dot (x-intercept) should be at \( (-4, 0) \) (drag to x=-4 on x-axis).
The blue dot (y-intercept) should be at \( (0, 6) \) (drag to y=6 on y-axis).

Answer:

Red dot: \( (-4, 0) \) (x=-4 on x-axis), Blue dot: \( (0, 6) \) (y=6 on y-axis)