Question

Consider the following equation Xpress the second equation in slope intercept form simplify your answer

Answer 1

Given: The equation below

$3x-5y=13$

To Determine: The slope-intercept form of the given equation

Solution

The general slope-intercept form of an equation is given as

$\begin{gathered} y=mx+c \\ m=slope \\ c=y-intercept \end{gathered}$

Let us simplify the given equation into slope-intercept form

$\begin{gathered} 3x-5y=13 \\ -5y=-3x+13 \\ Divide\text{ both sides by -5} \\ \frac{-5y}{-5}=\frac{-3x}{-5}+\frac{13}{-5} \\ y=\frac{3}{5}x-\frac{13}{5} \end{gathered}$

Hence, the slope-intercept form of the given equation is

$y=\frac{3}{5}x-\frac{13}{5}$