If (y=3x+b) and (y=-2x+4) cut the (y)-axis at the same point, what is (b)?
Answer and explanation
Correct answer: 4
In the line (y=mx+c), c is the y-intercept because x=0 on the y-axis. The first line has y-intercept b, while the second has y-intercept 4. For both lines to meet the y-axis at the same point, b=4. The terms 3x and -2x represent slopes, so they do not determine the y-intercept. Exam tip: put x=0 to find a y-intercept.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
In the line (y=mx+c), c is the y-intercept because x=0 on the y-axis. The first line has y-intercept b, while the second has y-intercept 4. For both lines to meet the y-axis at the same point, b=4. The terms 3x and -2x represent slopes, so they do not determine the y-intercept. Exam tip: put x=0 to find a y-intercept.
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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