Chapter 8.5, Problem 14WE

To determine

To find: Theequation in slope intercept form of the given line.

Answer to Problem 14WE

The equation in slope intercept form of the given lineis $y=-\frac{2}{5}x+5$ .

Explanation of Solution

Given information:

The slope is $-\frac{2}{5}$ and passing throughis $\left(5,7\right)$ .

Calculation:

The slope intercept form is,

  $y=mx+c$

Here, the slope is $m$ and $y$ intercept is $c$ .

Substitute the values in above equation.

  $y=-\frac{2}{5}x+c$ ..........(1)

Substitute the values of point through which the line is passing in above equation.

  $\begin{array}{l}7=-\frac{2}{5}\left(5\right)+c\\ 7=2+c\\ c=5\end{array}$

Substitute the value in equation (1).

  $y=-\frac{2}{5}x+5$