Question

Please help!! I will give you a medal if you help me.
Given the equation y - 4 = 3/4(x + 8) in point-slope form, identify the equation of the same line in standard form.

-3/4x + y = 10

3x - 4y = -40

y = 3/4x + 12

y = 3/4x + 10

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
now we turn to standard form : Ax + By = C
y = 3/4x + 10 -- multiply the equation by the LCD of 4
4y = 3x + 40 -- subtract 3x from both sides
-3x + 4y = 40 -- multiply by -1 to make x positive
3x - 4y = -40 <== standard form

Answer 2

Oh my gosh!! Thank you sooo much!!!

Answer 3

no problem :)