Find the x and y Intercepts y=x^2-6x-7

Problem

y=x2−6*x−7

Solution

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

y=0−6*(0)−7

y=−7

2. Find the x-intercepts by setting y=0 and solving the resulting quadratic equation.

0=x2−6*x−7

3. Factor the quadratic expression by finding two numbers that multiply to −7 and add to −6

0=(x−7)*(x+1)

4. Apply the zero product property to solve for x by setting each factor equal to zero.

x−7=0⇒x=7

x+1=0⇒x=−1

Final Answer

x-intercepts: *(7,0),(−1,0); y-intercept: *(0,−7)

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