When the equation (3y=15x+18) is written in (y=mx+c) form, what will be the slope?
Answer and explanation
Correct answer: 5
Dividing both sides of 3y=15x+18 by 3 gives y=5x+6. In the standard form y=mx+c, the coefficient of x is m, which represents the slope. Therefore, the slope is 5. Although 15 is the coefficient of x in the original equation, it must be divided by 3 because the coefficient of y is 3. Exam tip: First rewrite the equation in y=mx+c form, then identify the coefficient of x.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Dividing both sides of 3y=15x+18 by 3 gives y=5x+6. In the standard form y=mx+c, the coefficient of x is m, which represents the slope. Therefore, the slope is 5. Although 15 is the coefficient of x in the original equation, it must be divided by 3 because the coefficient of y is 3. Exam tip: First rewrite the equation in y=mx+c form, then identify the coefficient of x.
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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