What are the slope and (y)-intercept in (12x+3y-21=0)?
Answer and explanation
Correct answer: Slope -4, y-intercept 7
Rearranging the given equation gives 3y=-12x+21. Dividing by 3, we get y=-4x+7. In the form y=mx+c, m is the slope and c is the y-intercept. Hence, the slope is -4 and the y-intercept is 7. A common close error is to use a positive slope; moving 12x to the other side makes its sign negative. Exam tip: Rewrite the line in y=mx+c form before identifying the slope and intercept.
Frequently asked questions
What is the correct answer to this question?
Slope -4, y-intercept 7
Why is this the correct answer?
Rearranging the given equation gives 3y=-12x+21. Dividing by 3, we get y=-4x+7. In the form y=mx+c, m is the slope and c is the y-intercept. Hence, the slope is -4 and the y-intercept is 7. A common close error is to use a positive slope; moving 12x to the other side makes its sign negative. Exam tip: Rewrite the line in y=mx+c form before identifying the slope and 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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