Q. Determine the y-intercept of the following equation.(x−5)(x+4)=y(5,0) and (−4,0)(−20,0)(0,5) and (0,−4)(0,−20)(−5,0) and (−4,0)(0,20)
Find y-intercept: We need to find the y-intercept of the equation, which is the point where the graph of the equation crosses the y-axis. This occurs when x=0.
Substitute x=0: Substitute x=0 into the equation to find the y-intercept.y=(0−5)(0+4)
Perform multiplication: Perform the multiplication to find the value of y.y=(−5)(4)y=−20
Identify y-intercept point: The y-intercept of the equation is the point (0,y). Since we found y to be −20, the y-intercept is (0,−20).
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