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What are the slope and (y)-intercept of the line (5y=-10x+25)?

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Answer and explanation

Correct answer: Slope \,(-2) and \(y\)-intercept \,5

Write the line in slope-intercept form \(y=mx+c\) by dividing both sides by 5: \(y=-2x+5\). The coefficient of \(x\), \(m=-2\), is the slope, and the constant term, \(c=5\), is the \(y\)-intercept. Option A incorrectly uses the coefficients before dividing by 5. Exam tip: first rewrite the equation as \(y=mx+c\), then identify \(m\) and \(c\).

Related tags

Slope-Intercept FormLinear EquationsNegative SlopeY-InterceptCoordinate Geometry

Frequently asked questions

What is the correct answer to this question?

Slope \,(-2) and \(y\)-intercept \,5

Why is this the correct answer?

Write the line in slope-intercept form \(y=mx+c\) by dividing both sides by 5: \(y=-2x+5\). The coefficient of \(x\), \(m=-2\), is the slope, and the constant term, \(c=5\), is the \(y\)-intercept. Option A incorrectly uses the coefficients before dividing by 5. Exam tip: first rewrite the equation as \(y=mx+c\), then identify \(m\) 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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