Chapter 8.7, Problem 42STP

To determine

To find the equation of line.

Answer to Problem 42STP

Equation of line is $4x-5y=-50$

Explanation of Solution

Given information: A line has slope of $\frac{4}{5}$ and a Y-intercept of $10$

Formula Used:

Slope intercept form of line is $y=mx+c$ , where

  $m=$ Slope of graph of equation

  $c=$ y-intercept of graph of equation

Calculation:

Given slope and Y-intercept of line as follows:

  $\begin{array}{l}c=10\\ m=\frac{4}{5}\end{array}$

Equation of line using slope-intercept form is

  $y=mx+c$

Substituting the values in above equation,

  $\begin{array}{l}y=\frac{4}{5}x+10\\ y=\frac{4x+50}{5}\\ 5y=4x+50\\ 4x-5y=-50\end{array}$

Hence, equation of line is $4x-5y=-50$

Correct option is C