college algebra

Question

Find an equation of the line that satisfies the given conditions.

Through (4, 7);  parallel to the x-axis

Find an equation of the line that satisfies the given conditions.

Through (−3, 3) and (−2, −3)

Answer 1

y = 7 is parallel to the x axis and goes through any point with a y coordinate = 7

just set y = to the y coordinate of the point (4,7)

(-3, 3) and (-2, -3) have a line through them with slope = (-3-3)/(-2+3) = -6 = (y-3)/(x+3)

y-3 = -6x-18

6x + y +15= 0