Question

Write an equation in slope intercept form -17/12and(12,-8)

Answer 1

The slope-intercept form of a linear equation is given by:

`y=mx+b`

Where m is the slope and b is the y-intercept.

If the slope is -17/12, we have m = -17/12.

Now, to find the value of b, let's use the ordered pair (12, -8) in the equation:

`\begin{gathered} y=-(17)/(12)x+b \\ (12,-8)\colon \\ -8=-(17)/(12)\cdot12+b \\ -8=-17+b \\ b=-8+17 \\ b=9 \end{gathered}`

So our equation is:

`y=-(17)/(12)x+9`