Question

PLS HELPPPP Write a linear equation in point slope form for the line that goes through (-1,3) and (1,-9)

Answer 1

Solution:

First find the slope

$Slope=\frac{y2-y1}{x2-x1}\\Slope=\frac{(-9)-(3)}{(1)-(-1)}\\Slope = \frac{-12}{2}\\Slope=-6$

Secondly, write the equation

$y=m(x-xo)+yo\\y=-6(x-1)+(-9)\\y=-6x+6-9\\y=-6x-3$

Answer:

$y=-6x-3$

Check:

$(-1,3)\\y=-6(-1)-3\\y=6-3\\y=3$

$(1,-9)\\y=-6(1)-3\\y=-6-3\\y=-9$

Hope this was helpful.