In the line (y=22-9x), what are the slope and (y)-intercept?
Answer and explanation
Correct answer: Slope \(-9\), \(y\)-intercept \(22\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. The given line can be written as \(y=-9x+22\). Hence, \(m=-9\) and \(c=22\). Option B incorrectly ignores the negative sign of the coefficient of \(x\). Exam tip: Always retain the sign of the coefficient of \(x\) while identifying the slope.
Frequently asked questions
What is the correct answer to this question?
Slope \(-9\), \(y\)-intercept \(22\)
Why is this the correct answer?
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. The given line can be written as \(y=-9x+22\). Hence, \(m=-9\) and \(c=22\). Option B incorrectly ignores the negative sign of the coefficient of \(x\). Exam tip: Always retain the sign of the coefficient of \(x\) while identifying the slope.
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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