Question 166961
(-5,-6)(-3,-1)
Y=mX+b
First we find the slope (m):
m=(y2-y1)/(x2-x1)
m=(-1+6)/(-3+5)
m=5/2
m=2.5 is the slope
Now replace the x & y terms by one set of (x,y) values & solve for the y intercept(b).
-6=2.5*-5+b
-6=-12.5+b
b=-6+12.5
b=6.5
Thus the equation for a line passing theough (-5,-6) & (-3,-1) is:
y=2.5x+6.5
{{{ graph( 300, 200, -6, 5, -10, 10, 2.5x +6.5) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2.5x +6.5).