Chapter 4.3, Problem 8CYU

To determine

To find: The equation of the straight line $y-7=-\frac{3}{4}\left(x+5\right)$ in slope-intercept form.

Answer to Problem 8CYU

The equation of straight line in slope-intercept form is $y=-\frac{3}{4}x+\frac{13}{4}$ .

Explanation of Solution

Given information: The given equation of the line is $y-7=-\frac{3}{4}\left(x+5\right)$ .

Formula used: The equation of the straight line in slope-intercept form is of the form $y=mx+c$ where, $\left(m\right)$ is the slope of line and $\left(c\right)$ is the y-intercept.

Calculation: The equation of the straight line in slope-intercept form can be evaluated as,

  $\begin{array}{c}y-7=-\frac{3}{4}\left(x+5\right)\\ y-7=-\frac{3}{4}x-\frac{15}{4}\mathrm{......}\left(\text{Simplifying}\right)\\ \text{or, }y=-\frac{3}{4}x-\frac{15}{4}+7\\ y=-\frac{3}{4}+\frac{13}{4}\end{array}$