Question 142265
(9,-5)(1,-8)
First we find he slope (m):
(y2-y1)/(x2-x1)=(-8+5)/(1-9)=-3/-8=3/8
Now replace the X &Y terms with one set of points and solve for the y intercept (b).
Y=mX+b
-5=3/8*9+b
b=-5-27/8
b=(-40-27)/8
b=-67/8 is the y intercept.
So the line equation is:
y=3x/8-67/8
{{{ graph( 300, 200, -6, 20, -10, 10,3x/8 -67/8) }}} (graph 300x200 pixels, x from -6 to 20, y from -10 to 10,3x/8 -67/8).