What are the y-intercept and slope in 2x + 5y − 25 = 0?
Answer and explanation
Correct answer: y-intercept = 5, slope = −2/5
A straight line is commonly written as y = mx + c, where m is the slope and c is the y-intercept. Starting with 2x + 5y − 25 = 0, transpose the x-term and constant: 5y = −2x + 25. Divide every term by 5 to obtain y = (−2/5)x + 5. Therefore, the coefficient of x is the slope, −2/5, and the constant term is the y-intercept, 5, so option A is correct. Option B changes both signs, while options C and D read coefficients from the original equation without first isolating y.
Frequently asked questions
What is the correct answer to this question?
y-intercept = 5, slope = −2/5
Why is this the correct answer?
A straight line is commonly written as y = mx + c, where m is the slope and c is the y-intercept. Starting with 2x + 5y − 25 = 0, transpose the x-term and constant: 5y = −2x + 25. Divide every term by 5 to obtain y = (−2/5)x + 5. Therefore, the coefficient of x is the slope, −2/5, and the constant term is the y-intercept, 5, so option A is correct. Option B changes both signs, while options C and D read coefficients from the original equation without first isolating y.
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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