Question

nadia used the following process to find the y-intercept of the line described by the equation 2y+3x=18.
step 1: subtract 3x from each side. 2y=18-3x.
step 2: divide each side by 2. y=9-(3/2)x
step 3: the y-intercept of y=mx+b is b. y-intercept is 9.

according to nadia's method, which expression gives the y-intercept of the line described by ax+by=c?

Answer 1

a) a/b
b) -a/b
c) c/b
d) -c/b

Answer 2

c) c/b

that is the y-intercept.

Answer 3

by+ax=c
-ax -ax
------------
by = -ax+c
(divide by b on both sides))

y= -ax+c/b