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Put the following equation of a into slope-simplifying all fractions 8x+20y= -120

Put The Following Equation Of A Into Slopesimplifying All Fractions 8x20y 120 class=

Sagot :

A line equation in slope-intercept form is

[tex]y=mx+b[/tex]

Then, to rewrite our equation in slope intercept form we just need to "isolate" the y variable on the left side of the equation.

Our line is

[tex]8x+20y=-120[/tex]

Rewritting it, we have

[tex]\begin{gathered} 8x+20y=-120 \\ 8x+20y-8x=-120-8x \\ 20y=-8x-120 \\ \frac{20y}{20}=\frac{-8x-120}{20} \\ y=\frac{-8x}{20}-6 \\ y=-\frac{2}{5}x-6 \end{gathered}[/tex]

This is our line equation written in slope intercept form.

[tex]y=-\frac{2}{5}x-6[/tex]