Question

in point slope form: passes through (1, -3), slope = -1?

Answer 1

$y+3=-x+1$

Explanation

Step 1

Let

P1(1,-3)

slope=-1

Step 2

use the formula

$y-y_1=m(x-x_1)$

replacing

$\begin{gathered} y-y_1=m(x-x_1) \\ y-(-3)=-1(x-1) \\ y+3=-x+1 \\ \text{subtract 3 in both sides} \\ y+3-3=-x+1-3 \\ y=-x-2 \end{gathered}$

I hope this helps you