If slope and (y)-intercept are equal in (y=(a-2)x+a), what will (a) be?
Answer and explanation
Correct answer: No value of a
Write the equation in slope-intercept form. In (y=(a-2)x+a), the slope is (a-2) and the y-intercept is a. If they were equal, then (a-2=a). Subtracting a from both sides gives (-2=0), which is impossible. Hence, no value of a satisfies the condition. Even for 0, 1, or 2, the slope remains 2 less than the y-intercept. Exam tip: in y=mx+c, the coefficient of x is the slope and the constant term is the y-intercept.
Frequently asked questions
What is the correct answer to this question?
No value of a
Why is this the correct answer?
Write the equation in slope-intercept form. In (y=(a-2)x+a), the slope is (a-2) and the y-intercept is a. If they were equal, then (a-2=a). Subtracting a from both sides gives (-2=0), which is impossible. Hence, no value of a satisfies the condition. Even for 0, 1, or 2, the slope remains 2 less than the y-intercept. Exam tip: in y=mx+c, the coefficient of x is the slope and the constant term is the y-intercept.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
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