Question

Given the equation y - 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form.

Answer 1

y - 4 = 3/4(x + 8) --- distribute through the parenthesis
y - 4 = 3/4x + 6 --- add 4 to both sides
y = 3/4x + 6 + 4
y = 3/4x + 10 --- multiply by the LCD, which is 4
4y = 3x + 40 --- subtract 3x from both sides
-3x + 4y = 40 --- multiply by -1 to make x positive
3x - 4y = -40