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
In standard form we do not want fractions...so we need to multiply the entire equation by the LCD, which is 4.
4y = 3x + 40 -- subtract 3x from both sides
-3x + 4y = 40 -- we do not want x to be negative, so we will multiply the equation by -1
3x - 4y = -40 <== standard form