What are the slope and y-intercept of 2x − 3y + 9 = 0?
Answer and explanation
Correct answer: slope = 2/3, y-intercept = 3
The governing idea is that in y = mx + c, m is the slope and c is the y-intercept. Rearrange the equation carefully: 2x − 3y + 9 = 0 gives −3y = −2x − 9. Dividing each term by −3 produces y = (2/3)x + 3. Consequently, the slope is 2/3 and the line crosses the y-axis at (0, 3), so option A is correct. The negative signs in option B would correspond to an incorrect division. Options C and D do not result from isolating y and therefore mix up coefficients from the general form. The y-intercept can independently be checked by setting x = 0.
Frequently asked questions
What is the correct answer to this question?
slope = 2/3, y-intercept = 3
Why is this the correct answer?
The governing idea is that in y = mx + c, m is the slope and c is the y-intercept. Rearrange the equation carefully: 2x − 3y + 9 = 0 gives −3y = −2x − 9. Dividing each term by −3 produces y = (2/3)x + 3. Consequently, the slope is 2/3 and the line crosses the y-axis at (0, 3), so option A is correct. The negative signs in option B would correspond to an incorrect division. Options C and D do not result from isolating y and therefore mix up coefficients from the general form. The y-intercept can independently be checked by setting x = 0.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
