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} \\ (-5y)/(-5)=(-3x)/(-5)+(13)/(-5) \\ y=(3)/(5)x-(13)/(5) \end{gathered}`

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

`y=(3)/(5)x-(13)/(5)`