The line \(y=\frac{3}{4}x+c\) passes through ( (8,10) ). What is (c)?
Answer and explanation
Correct answer: 4
Since the given point \((8,10)\) lies on the line, substitute \(x=8\) and \(y=10\) in \(y=\frac{3}{4}x+c\). This gives \(10=\frac{3}{4}\times8+c=6+c\), so \(c=4\). Hence, 4 is the correct option. If \(c=3\), the right-hand side would be 9, not the given y-coordinate 10. Exam tip: For a line passing through a point, directly substitute the point’s coordinates into its equation.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
Since the given point \((8,10)\) lies on the line, substitute \(x=8\) and \(y=10\) in \(y=\frac{3}{4}x+c\). This gives \(10=\frac{3}{4}\times8+c=6+c\), so \(c=4\). Hence, 4 is the correct option. If \(c=3\), the right-hand side would be 9, not the given y-coordinate 10. Exam tip: For a line passing through a point, directly substitute the point’s coordinates into its equation.
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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