Question

FInd the x and y interceptsfor the equation 4x-3y=9

Answer 1

x-intercept is 9/4
y-intercept is -3

Answer 2

still a fun, but trivial method is to divide it all by the constant, that 9 in this case.

4x - 3y = 9 ; /9

4x -3y 9
--- + --- = --- ; and simplify
9 9 9


4x -y
--- + --- = 1 ; if we got a number up top, put it under
9 3

x -y
---- + --- = 1 ; if we got a "-" stick it under too
9/4 3


x y
---- + --- = 1 ; now we can just read the intercepts by
9/4 -3 the bottom numbers