Question 199326
(-7, 2) and (5, 8)
Y=mX+b is the line equation where m=slope & b=the y intersection.
slope=(y2-y1)/(x2-x1)=(8-2)/(5-[-7])=6/12=1/2 ans.
Now replace the X & Y with one set of points & solve for b.
2=1/2(-7)+b
2=-7/2+b
b=2+7/2
b=2+3.5
b=5.5 the y intercept.
y=x/2+5.5
{{{ graph( 300, 200, -6, 5, -10, 10, x/2 +5.5) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x/2 +5.5).