How do you find the x and y intercepts of #3.5x=10.5#?

Question

1425 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-26T12:14:13

See the solution process below:

Divide each side of the equation by #color(red)(3.5)# to isolate the #x# term:

#(3.5x)/color(red)(3.5) = 10.5/color(red)(3.5)#

#(color(red)(cancel(color(black)(3.5)))x)/cancel(color(red)(3.5)) = 3#

#x = 3#

By definition this is a vertical line where #x# has a value of #3# for every value of #y# including when #y = 0#. Therefore:

The x-intercept is #3# or #(3, 0)#

Because this is a vertical line at #x = 3# there is no y-intercept.