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Question

What is the slope of the line passing through points (2, 3) and (4, 7)?

This question was previously asked in
SSC CGL 2025 Tier 2 Paper 1 Question Paper (19-Jan-2026)
The correct answer is

2

\(\text{{Slope}} = \dfrac{{y_2 - y_1}}{{x_2 - x_1}} = \dfrac{{7-3}}{{4-2}} = \dfrac{{4}}{{2}} = \mathbf{{2}}\)

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Similar Questions

  1. In a triangle PQR, the centroid is at G(1, 2). If the vertices P and Q are at (3, -1) and (-2, 4) respectively, what are the coordinates of vertex R?

  2. If line passing through (3,-1) with slope 4; find y-intercept.

  3. What is the reflection of the point (-1, 5) in the line x = 1?

  4. What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(-4, 0) and C(3, -4)?

  5. Slope of the line AB is 4/3. Co-ordinates of points A and B are (x, -5) and (2, -3) respectively. What is the value of x?

  6. What is the slope of a line perpendicular to \(y = -3x + 7\)?

  7. The graph of \(y = 4x - 5\) passes through which point?

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  9. What is the slope of the line \(7x + 4y = 8\)?

  10. Find the slope of the line perpendicular to \(y = \dfrac{1}{4}x + 7\).


Important Questions from Coordinate Geometry

  1. Find the co-ordinates of the centroid of a triangle whose vertices are A(1, 4), B(7, 8) and C(10, 12).

  2. If x² + y² - 16x + 38y + 425 = 0, then the value of x² + y² is:
  3. If x² + y² - 12x + 18y + 117 = 0, then the value of x² + y² is:
  4. A geological survey team has established three research stations forming a triangular monitoring zone. The stations are located at coordinates P(2,5), Q(8,1), and R(4,9) on a coordinate grid where each unit represents 1 kilometer. What is the area of the triangular monitoring zone?
  5. \(A(1, 2)\), \(B(a, -26)\), \(C(13, -14)\) and \(D(6, 14)\) are the vertices of a parallelogram, taken in order, find the value of \(a\).
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