Q. Determine the y-intercept of the following equation.(x−4)(x+2)=y(−8,0)(0,8)(0,−8)(−4,0) and (−2,0)(4,0) and (−2,0)(0,4) and (0,−2)
Find y-intercept: We need to find the y-intercept of the equation (x−4)(x+2)=y. The y-intercept occurs where x=0. Let's substitute x=0 into the equation to find the y-value of the y-intercept.
Substitute x=0: Substitute x=0 into the equation: (0−4)(0+2)=y.
Calculate y: Calculate the value of y: (−4)(2)=y.
Perform multiplication: Perform the multiplication: y=−8.
Identify y-intercept point: The y-intercept of the equation is the point where the graph crosses the y-axis, which is when x=0. Therefore, the y-intercept is (0,−8).
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