You can put this solution on YOUR website! A useful form of the equation of a straight line is the intercept form
(1) x/(x-intercept) + y/(y-intercept) = 1
You are given:
(2) x-intercept = 2 and
(3) y-intercept = 1/3
Substitute (2) and (3) into (1) and get
(4) x/2 + y/(1/3) = 1 or
(5) x/2 + 3y = 1 or
(6) x + 6y = 2 or
(7) 6y = -x + 2 or
(8) y = -(1/6)x + 1/3, the slope-intercept form.
Is this correct?
When x = 0 in (8) y = 1/3, which agrees with the given y-intercept.
Another useful formula for a straight line is the slope, m, is given by
(9) m = -(y-intercept/x-intercept)
Using the intercepts in (9) yields
(10) m = - (1/3)/2 or
(11) m = -1/6, which agrees with the coefficient of x in (8).
Answer: In slope intercept form y = -(1/6)x + 1/3.
(