What are the intercepts of #7x-9y=8#?

1 Answer
Apr 26, 2016

Answer:

The x-intercept is #(8/7, 0)#

The y-intercept is #(0,8/-9)# or #(0, -8/9)#

Explanation:

Intercepts are points where a graph crosses the x and y axis.

For a linear equation, like your problem, it is very easy to locate these two points. First the x-intercept can be found by substituting "0" in place of the "y" in your equation.

#7x-9y=8#
#7x-9(0)=8#
#7x=8#
#x=8/7# The x-intercept is located at the point #( 8/7 , 0)#

In the same way, you can calculate the y-intercept by substituting "0" in for the "x" variable in the equation.

#7x-9y=8#
#7(0)-9y=8#
#-9y=8#
#y=-8/9# The y-intercept is at the point #(0, -8/9)#