college algebra
posted by confusedtwo questions please help .
find the equation of the line that is parallel to the line y=15x and contains the point (1,4)
y=
find the distance d (p_1, and p_2) between the points p_1 and p_2
p_1=(2,1)
p_2=(1,4)

(1) The slope must be 15. To pass through (1,4), it must be the equation
y + 4 = 15 (x  1)
That can be rewritten in standard form as
y = 15x 19
(2) (distance)^2 = (y2y1)^2 +(x2x1)^2
=(41)^2 + [1  (3)]^2 = 9 + 16 = 25
distance = 5