Q. Determine the y-intercept of the following equation.(x+3)(x−5)=y(3,0) and (5,0)(0,15)(−15,0)(−3,0) and (5,0)(0,−3) and (0,5)(0,−15)
Determine y-intercept: To find the y-intercept of the equation, we need to determine the value of y when x is equal to 0. This is because the y-intercept is the point where the graph of the equation crosses the y-axis, and at this point, the x-coordinate is always 0.
Substitute x=0: Substitute x=0 into the equation (x+3)(x−5)=y to find the y-intercept.y=(0+3)(0−5)y=(3)(−5)y=−15
Calculate y: The y-intercept of the equation is the point (0,y), where y is the value we just calculated.Therefore, the y-intercept is (0,−15).
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