Question

Complete the equation of the line through (-8,8) and (1,-10)

Answer 1

Answer:

$\[y+2x=-8\]$

Step-by-step explanation:

The equation of a line passing through two given points (x1,y1) and (x2,y2) is given by:

$\[\frac{(x-x1)}{(x2-x1)}=\frac{(y-y1)}{(y2-y1)}\]$

In this case, x1=-8,y1=8,x2=1,y2=-10

Substituting these values in the equation:

$\[\frac{(x-(-8))}{(1-(-8))}=\frac{(y-8)}{(-10-8)}\]$

Simplifying,

$\[\frac{(x+8)}{(1+8)}=\frac{(y-8)}{(-18)}\]$

=> $\[\frac{(x+8)}{9}=\frac{(y-8)}{(-18)}\]$

=> $\[\frac{(x+8)}{9}*(-18)=(y-8)\]$

=> $\[-2x-16=y-8\]$

=> $\[-8=y+2x\]$