Question

question
drag the red and blue dots along the x-axis and y-axis to graph $4x + 4y = 36$.

Explanation:

Step1: Find x-intercept (y=0)

Set \( y = 0 \) in \( 4x + 4y = 36 \).
\( 4x + 4(0) = 36 \)
\( 4x = 36 \)
\( x = \frac{36}{4} = 9 \).

Step2: Find y-intercept (x=0)

Set \( x = 0 \) in \( 4x + 4y = 36 \).
\( 4(0) + 4y = 36 \)
\( 4y = 36 \)
\( y = \frac{36}{4} = 9 \).

Step3: Adjust dots

Red dot (x-intercept) should be at \( (9, 0) \) on x-axis.
Blue dot (y-intercept) should be at \( (0, 9) \) on y-axis.

Answer:

Red dot: \( (9, 0) \) (x-axis, x=9), Blue dot: \( (0, 9) \) (y-axis, y=9)