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Which statement about the lines (y=4x+7) and (y=4x-2) is correct?

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Answer and explanation

Correct answer: Both lines have the same slope

In the form y = mx + c, the coefficient m of x is the slope. The coefficient of x is 4 in both equations, so the two lines have the same slope and are parallel. Their y-intercepts are 7 and -2 respectively, so option B is incorrect. Exam tip: To find the slope in y = mx + c, identify the coefficient of x.

Related tags

SlopeY-InterceptLinear EquationsParallel LinesCoordinate Geometry

Frequently asked questions

What is the correct answer to this question?

Both lines have the same slope

Why is this the correct answer?

In the form y = mx + c, the coefficient m of x is the slope. The coefficient of x is 4 in both equations, so the two lines have the same slope and are parallel. Their y-intercepts are 7 and -2 respectively, so option B is incorrect. Exam tip: To find the slope in y = mx + c, identify the coefficient of x.

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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