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:

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

So our equation is:

$y=-\frac{17}{12}x+9$