Question

When given a line of 3x - 3y = 36, how do you find the slope intercept?

Answer 1

y = x - 12

slope: 1

intercept: -12

Step-by-step explanation:

To find the slope and intercept of the line, we need to solve the equation for y.

So, the initial equation is

3x - 3y = 36

Subtract 3x from both sides

3x - 3y - 3x = 36 - 3x

-3y = 36 - 3x

Finally divide by -3

`\begin{gathered} (-3y)/(-3)=(36)/(-3)-(3x)/(-3) \\ y=-12+x \\ y=x-12 \end{gathered}`

So, the slope-intercept form of the equation is

y = x - 12

Then, the slope is 1 and the intercept is -12.