Exams › SSC CGL (Prelims) › General

What is the equation of the line passing through \((2,3)\) and \((4,11)\)?

1. y = 4x – 5
2. y = 3x – 2
3. y = 4x + 5
4. y = 2x + 1

Correct answer: y = 4x – 5

Solution

The slope of the line is \((11-3)/(4-2)=8/2=4\). Using point \((2,3)\), the line is \(y-3=4(x-2)\), which simplifies to \(y=4x-5\).

Related SSC CGL (Prelims) General questions

• What is the equation of a line passing through \((0,4)\) with slope \(-2\)?
• What is the slope of the line perpendicular to $y = 5x - 8$?
• Which line has slope \(-2\) and passes through \((3,5)\)?
• A line \(L\) is the perpendicular bisector of the line segment joining points \(P(4,6)\) and \(Q(10,2)\). What is the y-intercept of line \(L\)?
• Find the slope of the line $4x - 5y = 10$.
• Find the equation of the perpendicular bisector of the line segment joining the points $(1,5)$ and $(5,9)$.

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