Question

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

Answer 1

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