Find the x and y Intercepts y=|x-6|

Problem

y=|x−6|

Solution

1. Find the y-intercept by setting x=0 in the equation.

y=|0−6|

y=|−6|

y=6

2. Identify the y-intercept coordinate as (0,6)

3. Find the x-intercept by setting y=0 in the equation.

0=|x−6|

4. Solve for x by removing the absolute value bars, since the absolute value of a number is zero only if the number itself is zero.

x−6=0

x=6

5. Identify the x-intercept coordinate as (6,0)

Final Answer

x-intercept: *(6,0), y-intercept: *(0,6)

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