Chapter 1.4, Problem 22E

To determine

To find: line equation in slope-intercept form.

Answer to Problem 22E

  $y=0.25x-6$

Explanation of Solution

Given information:

  $\begin{array}{l}\text{Slope}\left(m\right)=0.25\\ x\text{-}\mathrm{intercept}=24\end{array}$

Calculation Since, x-intercept is 24, the points $\left(x_1,y_1\right)$ on the line will be $\left(24,0\right)$ .

The point slope form is as follows:

  $y-y_1=m\left(x-x_1\right)$

Substitute the value of m and b in the above equation and simply it as follows:

  $\begin{array}{c}y-0=\left(0.25\right)\left(x-24\right)\\ y=0.25x-6\end{array}$

Thus, the point slope form is of the line is $y=0.25x-6$ .