Q. Determine the y-intercept of the following equation.(x+3)(x−1)=y(−3,0)(0,3)(3,0) and (1,0)(0,−3)(−3,0) and (1,0)(0,−3) and (0,1)
Identify y-intercept: Identify the y-intercept from the equation.The y-intercept occurs where x=0. To find the y-intercept, we substitute x=0 into the equation and solve for y.
Substitute x=0: Substitute x=0 into the equation.(x+3)(x−1)=y(0+3)(0−1)=yy=3×(−1)y=−3
Confirm y-intercept: Confirm the y-intercept.The y-intercept is the point where the graph of the equation crosses the y-axis. Since we have found y to be −3 when x is 0, the y-intercept is (0,−3).
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