Chapter 8.6, Problem 8E

To determine

To write:

Anequation of the line with the given slope and y -intercept.

Answer to Problem 8E

The equation of the line with the given slope and y -intercept would be $y=-3x+5$ .

Explanation of Solution

Given:

  $\text{slope}=-3;y\text{-intercept}=5$

Concept used:

The equation of a line in slope-intercept form is $y=mx+b$ , where m represents slope of line and b represents the y -intercept.

Calculation:

To write our equation, we will substitute the given values of slope and y -intercept in slope-intercept form of equation as shown below:

  $\begin{array}{l}y=mx+b\left(\text{Slope-intercept form of equation}\right)\\ y=-3x+5\left(\text{Substituting }m=-3\text{and }b=5\right)\end{array}$

Therefore, the equation of the line with the given slope and y -intercept would be $y=-3x+5$ .