Question

Which equation represents a line that passes through (2, –left-parenthesis 2, negative StartFraction one-half EndFraction right-parenthesis.) and has a slope of 3?

y – 2 = 3(x + y minus 3 equals 2 left-parenthesis x plus StartFraction one-half EndFraction right-parenthesis.)
y – 3 = 2(x + y minus 3 equals 2 left-parenthesis x plus StartFraction one-half EndFraction right-parenthesis.)
y + y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis. = 3(x – 2)

Answer 1

Use point-slope form: y - y1 = m(x - x1) with (x1,y1) = (2, -1/2) and m = 3.

y - ( -1/2 ) = 3(x - 2) ⇒ y + 1/2 = 3(x - 2).

Equivalently, y = 3x - 13/2.