another tough one please help!

Question

Which of the following point-slope form equations could be produced with the points (3, 2) and (4, 6)?


y - 4 = 4(x - 6)


y - 2 = 4(x - 3)


y + 2 = -4(x - 3)


y - 3 = 4(x - 2)

Answer 1

Ok. Again the point-slope form equation is y-y₁=m(x-x₁)

First, let's find the slope:

the slope (m) = (the change in y)/ (the change in x)

Using the two points given,  (3.2) and (4,6).... m = (6-2)/(4-3) = 4/1 = 4

 

Now our equation is y-y1=4(x-x1)

Substitute one of the given points for x1 and y1  ...let's use (3,2)

so y-2= 4(x-3)

Answer 2

y - 2 = 4(x - 3)

(3,2): 2 - 2 = 4(3 - 3)

                0 = 0

 

(4,6):  6 - 2 = 4(4 - 3)

                 4 = 4