Find the x and y Intercepts y=-|x+10|

Problem

y=−|x+10|

Solution

1. Find the y-intercept by substituting x=0 into the equation.

y=−|0+10|

y=−|10|

y=−10

2. Find the x-intercept by setting y=0 and solving for x

0=−|x+10|

3. Divide by -1 to isolate the absolute value expression.

0=|x+10|

4. Solve the absolute value equation by setting the inner expression equal to zero.

x+10=0

x=−10

Final Answer

x-intercept: *(−10,0), y-intercept: *(0,−10)

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