Question 280151
Y=mX+b is the line equation.m=slope & b=Y intercept.
(1/6,- 1/3) and (5/6,5)
m=(y2-y1)/(x2-x1)
m=(5+1/3)/(5/6-1/6)
m=(16/3)/(4/6)
m=16/3*6/4
m=16*6/3*4
m=8 ans.
-1/3=8*1/6+b
-1/3=4/3+b
b=-1/3-4/3
b=-5/3 the Y intercept.
y=8x-5/3
{{{ graph( 300, 200, -6, 5, -10, 10, 8x -5/3) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 8x -5/3).