Question 142430
(2,5) & (7,-3)
First we find the slope (m) (y2-y1)/(x2-x1)
m=(-3-5)/(7-2)
m=-8/5 is the slope.
now we replace the x & y terms with one set of points & solve for the y intercept (b) in the equation [Y=mX+b]
5=-8/5*2+b
5=-16/5+b
5+16/5=b
(25+16)/5=b
41/5=b the y intercept.
Thus the equation is:
y=-8x/5+41/5
{{{ graph( 300, 200, -6, 10, -10, 10, -8x/5 +41/5) }}} (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, -8x/5 +41/5).