Question

I am in dire need of Math help.




What is y-1=-1/3 (x-5) in standard form?

Once solved, what is the X-intercept of the answer?

Answer 1

standard form is Ax + By = C

y - 1 = -1/3(x - 5)
y - 1 = -1/3x + 5/3
y = - 1/3x + 5/3 + 1
y = -1/3x + 5/3 + 3/3
y = -1/3x + 8/3 (multiply by 3)
3y = -x + 8
x + 3y = 8 <-- standard form

to find the x intercept, sub in 0 for y
x + 3(0) = 8
x + 0 = 8
x = 8 <-- x intercept