Which statement about y = 10x + 3 and y = -10x + 3 is correct?
Answer and explanation
Correct answer: Slopes are different and y-intercepts are the same
A line in slope-intercept form is y = mx + c, where m is the slope and c is the y-intercept. For the two equations, the slopes are 10 and -10, so they are different; their constant terms are both 3, so both meet the y-axis at (0, 3). Therefore, option B is correct. Option A reverses the comparison, while C and D contradict the equations.
Frequently asked questions
What is the correct answer to this question?
Slopes are different and y-intercepts are the same
Why is this the correct answer?
A line in slope-intercept form is y = mx + c, where m is the slope and c is the y-intercept. For the two equations, the slopes are 10 and -10, so they are different; their constant terms are both 3, so both meet the y-axis at (0, 3). Therefore, option B is correct. Option A reverses the comparison, while C and D contradict the equations.
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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