Question

y = \frac{2}{3}x + 6 click to select points on the graph.

Explanation:

Step1: Find y-intercept (x=0)

Substitute \( x = 0 \) into \( y=\frac{2}{3}x + 6 \).
\( y=\frac{2}{3}(0)+6 = 6 \).
So point: \( (0, 6) \).

Step2: Find another point (x=3)

Substitute \( x = 3 \) into \( y=\frac{2}{3}x + 6 \).
\( y=\frac{2}{3}(3)+6 = 2 + 6 = 8 \).
So point: \( (3, 8) \).

(Or use \( x = -9 \): \( y=\frac{2}{3}(-9)+6=-6 + 6 = 0 \), point \( (-9, 0) \), but grid starts at \( x=0 \), so \( (0,6) \) and \( (3,8) \) are easier.)

To graph \( y=\frac{2}{3}x + 6 \), plot \( (0, 6) \) (y-intercept) and \( (3, 8) \) (or other valid points from the equation), then draw a line through them.

Answer:

Key points to plot: \( (0, 6) \) and \( (3, 8) \) (or others like \( (-9, 0) \)), then draw the line.