Question

Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?

y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5

Answer 1

Use point-slope form y − y1 = m(x − x1) with (x1,y1) = (5,1) and m = 1/2:

y − 1 = (1/2)(x − 5).

(Equivalently y = (1/2)x − 3/2.)