Chapter 13.7, Problem 9CE

To determine

To find : an equation of line described

Answer to Problem 9CE

The equation is $y=\frac{5}{8}x-\frac{17}{8}$

Explanation of Solution

Given information :

Slope is $=\frac{5}{8}$ ; passes through the point $\left(3,4\right)$

Formula used :

  $y-y_1=m\left(x-x_1\right)$

Calculation :

Then use the point and slope

Using $\left(3,4\right)$ , the equation is

  $\begin{array}{l}y-4=\frac{5}{8}\left(x-3\right)\\ y=\frac{5}{8}x-\frac{15}{8}+4\\ y=\frac{5}{8}x+\left(\frac{-15+32}{8}\right)\\ y=\frac{5}{8}x-\frac{17}{8}\end{array}$

Hence, the equation is $y=\frac{5}{8}x-\frac{17}{8}$ .