A line passes through (0, 3) and (12, 35). write an equation of the line

First determine the value of slope m.

m = (35 - 3) / (12 - 0) = 8/3

Then, use the equation of the line.

y - 35 = 8/3 (x - 12)

3 (y - 35) = 8 (x - 12)

3y - 105 = 8x - 96

8x - 3y + 9 = 0

or

y - 3 = 8/3 (x - 0)

3 (y - 3) = 8 (x - 0)

3y - 9 = 8x

8x - 3y + 9 = 0