Question

GIVE MEDALS!
What is the equation of the line that passes through (4, -1) and (-2, 3)?


2x - 3y - 5 = 0
2x + 3y - 5 = 0
-2x + 3y - 5 = 0

Answer 1

@jziggy

Answer 2

change in y over change in x to get the slope so,
(3 - (-1))/(-2 - 4)
which simplifies to -2/3

Answer 3

So you now have y = -2x/3 + b where we need to solve for b by plugging in one of the coordinates.
-1 = -8/3 + b
b = 5/3

Answer 4

So, y = -2x/3 + 5/3 and now we just need to do a little gymnastics to make it look right

Answer 5

Multiply both sides of the equation by 3 to get 3y = -2x + 5

Answer 6

and then 3y + 2x - 5 = 0