Question

Solve for k if the line through the two given points is to have the given slope

Answer 1

Step 1

Given;

`\begin{gathered} m=(2)/(3) \\ (2,4) \\ (4,k) \end{gathered}`

Step 2

Using the point-slope formula

`\begin{gathered} y-y_1=m\frac{}{}(x-x_1) \\ y-4=(2)/(3)(x-2) \\ y-4=(2)/(3)(x-2) \\ y=k \\ x=4 \\ k-4=(2)/(3)(4-2) \\ k-4=(2)/(3)(2) \\ k-4=(4)/(3) \\ k=(4)/(3)+4 \\ k=(16)/(3) \end{gathered}`

Answer; Op B

`k=(16)/(3)`