How do you find the x and y intercepts for #4x +3y-7=0#?

1 Answer
Dec 18, 2015

Answer:

#x# intercept is #7/4# and #y# intercept is #7/3#.

Explanation:

For #y=0#,
#color(white)(xx)4x-7=0#
#=>4x-7color(red)(+7)=0color(red)(+7)#
#=>color(red)(1/4xx)4x=color(red)(1/4xx)7#
#=>x=7/4#

Therefore #x# intercept is #7/4#.

For #x=0#,
#color(white)(xx)3y-7=0#
#=>3y-7color(red)(+7)=0color(red)(+7)#
#=>color(red)(1/3xx)3y=color(red)(1/3xx)7#
#=>x=7/3#

Therefore #y# intercept is #7/3#.
graph{(-4x+7)/3 [-10, 10, -5, 5]}