Question

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFraction one-fourth EndFraction left-parenthesis x minus 12 right-parenthesis.(x – 12). What is the standard form of the equation for this line?

x – 4y = 8
x – 4y = 2
4x – y = 8
4x – y = 2

Answer 1

Start with y − 1 = (1/4)(x − 12).

y − 1 = (1/4)x − 3
y = (1/4)x − 2

Multiply by 4: 4y = x − 8 → x − 4y = 8.

Answer: x − 4y = 8.