Given #y=3x-4# what is the #x#-intercept?

1 Answer
Apr 15, 2018

#x#-int @ #x=4/3#

Explanation:

The #x#-intercept is when the graph crosses the #x#-axis, and as we know, at this axis, #y# is equal to zero. This means we can find the #x#-intercept when #y=0#:

We can set #y=0# to get

#3x-4=0#

Adding #4# to both sides, we get

#3x=4#

Lastly, dividing both sides by #3# we get

#x=4/3# as the #x#-intercept