Find the equation in general form of the line (5,-4) (-4,3)

Question

a_clan · Answer

Ax+By=C

anonymous · Answer

find the slope of the line
find the intercept
put i the form y = mx +b
done

anonymous · Answer

$$y = -(7 x)/9-1/9$$

anonymous · Answer

What if none of the answers are fractions?

anonymous · Answer

Then it would be:
$$7 x+9 y+1 = 0$$

anonymous · Answer

7x+9y=-1 or 9x+7y=-1 or 5x-4y=0 or -4x+3y=0  which of these would be the answer?

a_clan · Answer

first

anonymous · Answer

why is it -1?

a_clan · Answer

7x+9y+1=0
convert it in Ax+By=C form:
7x+9y=-1

anonymous · Answer

Oh, ok!  May I ask how you got the answer?

anonymous · Answer

Like the process

a_clan · Answer

AS duke already explained:
find slope, m=(y2-y1)/(x2-x1)
Put it in y=mx+c
then put any one co-ordinate (x1,y1) or (x2,y2) in this equation, you will get c.
Put back value of c in equation, you will get
y=-(7x)/9 -1/9
Re-arrange this equation into standard form:Ax+ By=C
you will have 7x+9y=-1

anonymous · Answer

when we try and find the slope, we come up with -7/9

a_clan · Answer

correct

anonymous · Answer

what numbers do we use to plug it in?