296,670 views
45 votes
45 votes
12.Find the missing value given the rate of change.(-15, y) and (-3, 11). m=-3/4

12.Find the missing value given the rate of change.(-15, y) and (-3, 11). m=-3/4-example-1
User Johnston
by
2.2k points

1 Answer

11 votes
11 votes

Answer:

y=20

Step-by-step explanation:

• Given the points: (-15, y) and (-3, 11); and

,

• Rate of change: -3/4

Using the slope formula:


\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \implies-(3)/(4)=(11-y)/(-3-(-15)) \end{gathered}

We solve for y:


\begin{gathered} (-3)/(4)=(11-y)/(-3+15) \\ (-3)/(4)=(11-y)/(12) \\ \text{Cross multiply} \\ 4(11-y)=-3*12\text{ \lbrack{}Open the bracket\rbrack} \\ 44-4y=-36 \\ 4y=44+36 \\ 4y=80\text{ \lbrack{}Divide both sides by 4\rbrack} \\ y=(80)/(4) \\ y=20 \end{gathered}

The missing value, y is 20.

User Kirancodify
by
2.9k points