In the line 4x+ 7y + c = 0, the sum of the x- and y- intercepts is 24 . Find c.
4x + 7y + c = 0 Re-write as
y = -(4/7)x + c / 7
y intercept....let x = 0
y = c/7
x int ....let y = 0
0 = (-4/7)x + c/7
(4/7) x = c/7
4x = c
x = c/4
So
c/4 + c/7 = 24
(11/28) c =24
c = (28/11) (24)
c = 672/11
