How do you find the intercepts for y = x - 6?

1 Answer
Jun 27, 2015

The x-intercept is 6
The y-intercept is -6

Explanation:

The x-intercept is the value of x at the point where the line of the equation crosses the x-axis. Another way of saying this is that it is the value of x when y=0 (since y=0 is the equation of the x-axis).
For the equation:
color(white)("XXXX")y=x-6
setting y=0
gives
color(white)("XXXX")0=x-6
or
color(white)("XXXX")x=6

Similarly the y-intercept is the value of y from the equation when x=0
color(white)("XXXX")y=x-6
becomes
color(white)("XXXX")y=0-6
or
color(white)("XXXX")y=-6