Answer:
y=20
Explanation:
• Given the points: (-15, y) and (-3, 11); and
,
• Rate of change: -3/4
Using the slope formula:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \implies-\frac{3}{4}=\frac{11-y}{-3-(-15)} \end{gathered}[/tex]
We solve for y:
[tex]\begin{gathered} \frac{-3}{4}=\frac{11-y}{-3+15} \\ \frac{-3}{4}=\frac{11-y}{12} \\ \text{Cross multiply} \\ 4(11-y)=-3\times12\text{ \lbrack{}Open the bracket\rbrack} \\ 44-4y=-36 \\ 4y=44+36 \\ 4y=80\text{ \lbrack{}Divide both sides by 4\rbrack} \\ y=\frac{80}{4} \\ y=20 \end{gathered}[/tex]
The missing value, y is 20.
