Question

complete the table of values. then plot the solution points on a rectangular coordinate system.

x	-2	0	4	6	8

(there is a coordinate grid image below the table)

Explanation:

Step1: Substitute \( x = -2 \) into \( y = -\frac{3}{2}x + 4 \)

\( y = -\frac{3}{2} \times (-2) + 4 = 3 + 4 = 7 \)

Step2: Substitute \( x = 0 \) into \( y = -\frac{3}{2}x + 4 \)

\( y = -\frac{3}{2} \times 0 + 4 = 0 + 4 = 4 \)

Step3: Substitute \( x = 4 \) into \( y = -\frac{3}{2}x + 4 \)

\( y = -\frac{3}{2} \times 4 + 4 = -6 + 4 = -2 \)

Step4: Substitute \( x = 6 \) into \( y = -\frac{3}{2}x + 4 \)

\( y = -\frac{3}{2} \times 6 + 4 = -9 + 4 = -5 \)

Step5: Substitute \( x = 8 \) into \( y = -\frac{3}{2}x + 4 \)

\( y = -\frac{3}{2} \times 8 + 4 = -12 + 4 = -8 \)

Answer:

When \( x = -2 \), \( y = 7 \); when \( x = 0 \), \( y = 4 \); when \( x = 4 \), \( y = -2 \); when \( x = 6 \), \( y = -5 \); when \( x = 8 \), \( y = -8 \)