Chapter 4.2, Problem 35PPS

To determine

The equation of line with x-intercept 4 and y-intercept 5.

Answer to Problem 35PPS

The equation of line is $y=-\frac{5}{4}x+5$ .

Explanation of Solution

Given:

The line has x-intercept 4 and y-intercept 5.

Calculation:

Standard equation of slope intercept form is expressed as follows:

$y=mx+c$

Here, m is slope and c stands for constant.

Substitute the value of y-intercept in above equation as follows:

$y=mx+5$

X-intercept gives the coordinate as (4, 0).

Substitute the (4, 0) in above equation as follows:

$\begin{array}{c}0=m\left(4\right)+5\\ m=-\frac{5}{4}\end{array}$

Thus, the equation of line is calculated as follows:

$y=-\frac{5}{4}x+5$

Thus, the equation of line is $y=-\frac{5}{4}x+5$ .