Question

Write the equation of the line that passes through the given points.

(15/8,0) and (17/8,1/2)
The equation of the line is _______.

Answer 1

Explanation:

Going from (15/8,0) to (17/8,1/2), we see that x (the 'run') increases by 2/8, or 1/4, and that y (the 'rise') increases by 1/2. Thus, the slope of this line through the given points is m = rise / run = (1/2) / (1/4) = 2.

Using the point-slope formula for the equation of a line, we obtain:

y - 0 = 2(x - 15/8), or

y = 2(x - 15/8) (simplest form), or

8y = 2x - 15/4, or

2x - 8y = 15/4, or

8x - 32y = 15

All of these are correct; they are 'equivalent.'