Question

Write the equation for the line that goes through point (1, 1) with slope m = -9

Answer 1

1) Since we have the slope, and one point we can find that linear equation using this point-slope formula. Plugging them we have:

$\begin{gathered} (y-y_0)=m(x-x_0) \\ y-1=-9(x-1) \\ y-1=-9x+9 \\ y=-9x+9+1 \\ y=-9x+10 \end{gathered}$

2) Note that we had to add 1 to both sides, to keep the "y "on the left.

3) Therefore, y=-9x+10 is the answer.