geometry questions in college algebra

Question

Find a general form of an equation of the line through the point A that satisfies the given condition.

A(−6, 3)

(a) parallel to the x-axis

(b) perpendicular to the x-axis

Answer 1

a) y=3

b) x=-6

a) the line has 0 slope which means no x term, y=(0)x + 3

b) the line has infinite slope, its a vertical line through the point (-6,3) where x is always -6