point slope equation

Question

find the point slope equation for the line passing through (3,-4) (-1,2)

Answer 1

slope = m = 6/-4 = -3/2

y-y1 = m(x-x1) is the equation in slope point form with the point = (x1,y1) = (-1,2)

y-2 = -3(x+1)/2 is the equation in point slope form

which is the same as

2y-4 =-3x+3

or

3x+2y = 1

y=mx +b is in slope intercept form where b is the y intercept or the point (0,b)

2=-3(-1)/2 + b

b =2-3/2 = 1/2

y=-3x/2 +1/2 or

2y=-3x +1 or

3x+2y = 1