point-slope and slope - intercept form

Answer 1

linear equations going through 2 points (a,b) and (c,d)

have a line through them in point slope form: y-d = (d-b)(x-c)/(c-a)

while slope intercept form is

y = ((d-b)/(c-a))(x -d)

y = ((d-b)x/(c-a) -(d-b)d/(c-a)

where -((d-b)/(c-a))d = the y intercept

and (d-c)/(c-a) = slope