Question 207872
(5,-3) (-1,5)
Y=mX+b
m=slope=(y2-y1)/(x2-x1)=(5+3)/(-1-5)=8/-6=-4/3 is the slope
-3=-4/3*5+b
-3=-20/3+b
b=-3+20/3
b=(-3*3+20)/3
b=(-9+20)/3
b=11/3 is the y intercept.
y=-4x/3+11/3 is the line equation.
{{{ graph( 300, 200, -6, 5, -10, 10, -4x/3 +11/3) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -4x/3 +11/3).