Chapter 13.2, Problem 9PSB

To determine

To find: The value of $k$ if the equation of line $y=8x-1$ contains the point $\left(k,5\right)$ .

Answer to Problem 9PSB

The value of $k$ is $\frac{3}{4}$ .

Explanation of Solution

Given:

The equations is $y=8x-1$ and point is $\left(k,5\right)$ .

Calculation:

Find the value of $k$ .

Substitute $k$ for $x$ , and $5$ for $y$ in the equation $y=8x-1$ .

  $\begin{array}{c}5=8\left(k\right)-1\\ 8k=6\\ k=\frac{6}{8}\\ =\frac{3}{4}\end{array}$

Therefore, the value of $k$ is $\frac{3}{4}$ .