Question

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = 1/4 (x – 12). What is the standard form of the equation for this line?

A.x – 4y = 8
B.x – 4y = 2
C.4x – y = 8
D.4x – y = 2

Answer 1

y = (1/4)x - 2

Explanation:

y – 1 = (1/4)(x – 12)

y - 1 = (1/4)x - 3

y = (1/4)x - 2

This is in standard slope-intercept form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x is equal to zero).

See the attached graph (the lines y – 1 = (1/4)(x – 12) and y = (1/4)x - 2 overlap since they are the same (equal).