Question

17. SHOW YOUR WORK. The points (9,4) and (x, 6) lies on a line whose slope is -1/3. Find the value of x.*

Answer 1

The formula for the slope is,

`m=(y_2-y_1)/(x_2-x_1)`

Substitute the values in the formula to obtain the value of x.

`\begin{gathered} -(1)/(3)=(6-4)/(x-9) \\ -1(x-9)=3\cdot2 \\ -x+9=6 \\ -x=6-9 \\ x=3 \end{gathered}`

Thus value of x is 3.