What are the slope and (y)-intercept of (9x+3y-27=0)?
Answer and explanation
Correct answer: Slope −3 and y-intercept 9
Solve the given equation for y: 9x+3y−27=0, so 3y=−9x+27 and y=−3x+9. In the form y=mx+c, m is the slope and c is the y-intercept. Therefore, the slope is −3 and the y-intercept is 9. Option B has the correct intercept but the wrong sign for the slope. Exam tip: Rewrite the equation in y=mx+c form before identifying m and c.
Frequently asked questions
What is the correct answer to this question?
Slope −3 and y-intercept 9
Why is this the correct answer?
Solve the given equation for y: 9x+3y−27=0, so 3y=−9x+27 and y=−3x+9. In the form y=mx+c, m is the slope and c is the y-intercept. Therefore, the slope is −3 and the y-intercept is 9. Option B has the correct intercept but the wrong sign for the slope. Exam tip: Rewrite the equation in y=mx+c form before identifying m and c.
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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