0 reads0 ratings0 helpful
If the line (y=2x+c) cuts the (y)-axis at ( (0,5) ), what is the line?
Advertisement
Answer and explanation
Correct answer: \(y=2x+5\)
Putting \(x=0\) in \(y=2x+c\) gives \(y=c\). Since the line cuts the \(y\)-axis at \((0,5)\), \(c=5\). Therefore, the line is \(y=2x+5\). In \(y=5x+2\), the slope changes, whereas the given line has slope 2. Exam tip: in \(y=mx+c\), the \(y\)-intercept is \(c\).
Frequently asked questions
What is the correct answer to this question?
\(y=2x+5\)
Why is this the correct answer?
Putting \(x=0\) in \(y=2x+c\) gives \(y=c\). Since the line cuts the \(y\)-axis at \((0,5)\), \(c=5\). Therefore, the line is \(y=2x+5\). In \(y=5x+2\), the slope changes, whereas the given line has slope 2. Exam tip: in \(y=mx+c\), the \(y\)-intercept is \(c\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
Advertisement