Question

write the equation of a line through the given points in the form Ax + By = C
where A B and C are integers and A> 0
(5,4) (-2,6)
no idea how to do this.
sorry for all the questions. ive got an exam coming up and im having a hard time with the review.

Answer 1

notice that two pairs of (x,y) is given.
once you plug them in into the Ax+By =C, you will
get a system of equations.
Can you solve it from there ?

Answer 2

no not sure..

Answer 3

i know the answer is 2x + 7y = 38 but i have no idea how to get there. im really confused.

Answer 4

okay, then do you know that Ax + By = C is called the
standard form of a "linear equation"

Answer 5

?

Answer 6

what do the system of equations look like?

Answer 7

for example, if you plug in (5,4) one of the equations will be
5A+4B = C
you do the same with the other set of points

Answer 8

yes and once i do that im not sure what to do...

Answer 9

how do i solve that?

Answer 10

you asking me that means that you haven't learned it yet.

then I will tell you another way to solve this.

to determine a unique line, all you need to two points.
since you are given two points, you can find the slope
between those points.
Once you do that , you are going to plug in one of the
points in to this equation

y = mx + b

called the slope intercept form.

x,y is given and m will be the slope.
b is the y-intercept and you can solve for it once you plug
in all known numbers.

after you get y = mx + b, now what you will do is to fix it
back into Ax + By = C form by algebraic manipulation.