algebra question

Question

Which equation represents a line that passes through (5, 1) and has a slope of ?

y – 5 = (x –1)

y –  = 5(x –1)

y – 1 = (x –5)

y – 1 = 5

Answer 1

The point-slope formula is as follows:

y - y₁ = m(x - x₁)

The point (5,1) can be substituted the equation as (x₁, y₁). The slope 1/2 can replace m. Substituting these into the equation gives the following:

y - 1 = 1/2(x-5)

This is choice C.