Question

I need help with standard form of linear equations ._.

Answer 1

I know that the standard form is Ax + By = C... but I don't understand how to find A, B, or C...

Answer 2

Like, if I was given the coordinates of a point and the slope of the line, how could I figure it out with that? Or if I was given a pair of coordinates?

Answer 3

Like for example... if I was given the points (2, -3) and (4, 2), how would I find the standard form of the equation?

Answer 4

I already know the point-slope and slope-intercept forms:
y - 2 = 5/2(x - 4) or y + 3 = 5/2(x - 2) and y = 5/2x - 8

Answer 5

once you get y = 5/2x - 8, you now want to put it in standard form.
Ax + By = C
-5/2x + y = -8 (multiply the equation by 2 to get rid of the fraction)
-5x + 2y = -16 (multiply by -1 to make x positive)
5x - 2y = 16 <-- standard form for y = 5/2x - 8

Understand ?

Answer 6

once you get it into y = mx + b form, you just have to move things around and get it into Ax + By = C form.

Answer 7

you sometimes have to multiply to get rid of fractions or to make x positive

Answer 8

Ohh I see now! Thank you!

Answer 9

anytime :) glad I could help