Exams › SSC CGL (Prelims) › General

If a line passing through \((2,-3)\) has a slope of 5, find its y-intercept.

1. – 13
2. 13
3. – 10
4. 10

Correct answer: – 13

Solution

For a line with slope 5, the equation is \(y = 5x + c\). Since it passes through \((2,-3)\), substitute to get \(-3 = 5(2) + c\), so \(c = -13\). Thus, the y-intercept is -13.

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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