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Convert 10x-2y=6 from standard form to slope intercept form

User Jnorris
by
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1 Answer

4 votes

We are given the equation in standard form.


10x-2y=6

To convert this equation into the slope-intercept form​, we have to separate the variable y.

Step 1:

Add 2y to both sides of the equation and simplify


\begin{gathered} 10x-2y+2y=6+2y \\ 10x=6+2y \end{gathered}

Step 2:

Subtract 6 from both sides of the equation and simplify


\begin{gathered} 10x-6=-6+6+2y \\ 10x-6=2y \end{gathered}

Step 3:

Divide both sides of the equation by 2 and simplify


\begin{gathered} (10x-6)/(2)=(2y)/(2) \\ (10x)/(2)-(6)/(2)=y \\ 5x-3=y \end{gathered}

Finally, simply rewrite the equation as


y=5x-3

Therefore, the equation is converted to slope-intercept form.

The slope is m = 3 and the y-intercept is b = -3

User Brandon Tiqui
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3.5k points