Which statement about the lines (y=5x+8) and (y=5x-6) is correct?
Answer and explanation
Correct answer: Both have the same slope
In the form y=mx+c, m is the slope and c is the y-intercept. The coefficient of x is 5 in both equations, so both lines have slope 5. Their y-intercepts are 8 and -6 respectively, so they are not the same; lines with equal slopes and different y-intercepts are parallel and do not intersect. Exam tip: to identify the slope, look at the coefficient of x.
Frequently asked questions
What is the correct answer to this question?
Both have the same slope
Why is this the correct answer?
In the form y=mx+c, m is the slope and c is the y-intercept. The coefficient of x is 5 in both equations, so both lines have slope 5. Their y-intercepts are 8 and -6 respectively, so they are not the same; lines with equal slopes and different y-intercepts are parallel and do not intersect. Exam tip: to identify the slope, look at 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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