Which statement about (y=-2x+10) and (y=-2x-3) is correct?
Answer and explanation
Correct answer: The slopes are the same and the y-intercepts are different
In the form \(y=mx+c\), \(m\) is the slope and \(c\) is the y-intercept. Both equations have \(-2\) as the coefficient of \(x\), so their slopes are the same. However, their y-intercepts are \(10\) and \(-3\), respectively, so they are different. Therefore, the lines are parallel, not the same line. Exam tip: in \(y=mx+c\), identify the coefficient of \(x\) for slope and the constant term for the y-intercept.
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What is the correct answer to this question?
The slopes are the same and the y-intercepts are different
Why is this the correct answer?
In the form \(y=mx+c\), \(m\) is the slope and \(c\) is the y-intercept. Both equations have \(-2\) as the coefficient of \(x\), so their slopes are the same. However, their y-intercepts are \(10\) and \(-3\), respectively, so they are different. Therefore, the lines are parallel, not the same line. Exam tip: in \(y=mx+c\), identify the coefficient of \(x\) for slope and the constant term for 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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