Determine the y-intercept of the following equation.left bracket, minus, x, minus, 2, right bracket, left bracket, minus, x, minus, 1, right bracket, equals, y(−x−2)(−x−1)=yAnswerMultiple Choice Answersleft bracket, 0, comma, 2, right bracket(0,2)left bracket, 2, comma, 0, right bracket, and , left bracket, minus, 1, comma, 0, right bracket(2,0) and (−1,0)left bracket, 2, comma, 0, right bracket(2,0)left bracket, 0, comma, minus, 2, right bracket, and , left bracket, 0, comma, minus, 1, right bracket(0,−2) and (0,−1)left bracket, 0, comma, minus, 2, right bracket(0,−2)left bracket, minus, 2, comma, 0, right bracket, and , left bracket, minus, 1, comma, 0, right bracket(−2,0) and (−1,0)
Question
Determine the y-intercept of the following equation.left bracket, minus, x, minus, 2, right bracket, left bracket, minus, x, minus, 1, right bracket, equals, y(−x−2)(−x−1)=yAnswerMultiple Choice Answersleft bracket, 0, comma, 2, right bracket(0,2)left bracket, 2, comma, 0, right bracket, and , left bracket, minus, 1, comma, 0, right bracket(2,0) and (−1,0)left bracket, 2, comma, 0, right bracket(2,0)left bracket, 0, comma, minus, 2, right bracket, and , left bracket, 0, comma, minus, 1, right bracket(0,−2) and (0,−1)left bracket, 0, comma, minus, 2, right bracket(0,−2)left bracket, minus, 2, comma, 0, right bracket, and , left bracket, minus, 1, comma, 0, right bracket(−2,0) and (−1,0)
Solution
The y-intercept of an equation is the point where the line crosses the y-axis. This occurs when x = 0.
So, to find the y-intercept, we substitute x = 0 into the equation:
y = (−0−2)(−0−1) y = (−2)(−1) y = 2
So, the y-intercept of the equation is (0, 2).
Therefore, the correct answer is (0,2).
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