Question

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

Answer:

To graph \(-6x + 4y = 24\), drag the red dot (x - intercept) to \( x = -4 \) (on the x - axis, coordinates \((-4, 0)\)) and the blue dot (y - intercept) to \( y = 6 \) (on the y - axis, coordinates \((0, 6)\)). Then draw a line through these two points.