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SSC CGL Graphs of Linear Equations — practice questions

Explore 47 free Graphs of Linear Equations questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Graphs of Linear Equations questions and exercises with answers

Showing questions 1–30 of 47.

A line passes through (2, 3) and (6, 11). What is its slope?Read the answer and worked solution →Find the slope of the line joining the points (1, 5) and (4, 14).Read the answer and worked solution →Points (3, 7) and (5, 3) lie on a line. Its slope isRead the answer and worked solution →A line passes through the origin and the point (5, 20). Its slope isRead the answer and worked solution →What is the slope of a line that runs parallel to the x-axis?Read the answer and worked solution →A line that rises as one moves from left to right has a slope that isRead the answer and worked solution →What is the slope of a line inclined at 45 degrees to the positive x-axis?Read the answer and worked solution →What is the slope of the line y = 5x - 4?Read the answer and worked solution →The line y = 2x + 9 cuts the y-axis at y equal toRead the answer and worked solution →Where does the line 3x + 4y = 24 meet the x-axis?Read the answer and worked solution →The line x/4 + y/6 = 1 and the axes enclose a triangle of areaRead the answer and worked solution →A linear equation in two variables has how many solutions?Read the answer and worked solution →Plotting every solution of ax + by + c = 0 producesRead the answer and worked solution →How many straight lines can pass through two distinct points?Read the answer and worked solution →Which of these equations represents a line parallel to the y-axis?Read the answer and worked solution →The equation y = -3 represents a line that isRead the answer and worked solution →The lines y = 2x + 1 and y = 2x - 5 areRead the answer and worked solution →If two non-vertical lines are perpendicular, the product of their slopes isRead the answer and worked solution →A line perpendicular to y = 4x + 1 has slopeRead the answer and worked solution →Any line parallel to 6x - 3y = 5 must have slopeRead the answer and worked solution →Lines 2x + 3y = 7 and kx - 6y = 1 are perpendicular. Find k.Read the answer and worked solution →For what k are kx + 3y = 5 and 4x + 6y = 7 parallel?Read the answer and worked solution →A line has slope 2 and cuts the y-axis at (0, 3). Its equation isRead the answer and worked solution →A line with slope -1 passes through (2, 5). Its equation isRead the answer and worked solution →The line through (-2, 1) and (4, 1) has the equationRead the answer and worked solution →Which point lies on the line 3x - 2y = 12?Read the answer and worked solution →The point (2, k) lies on the line 5x + 2y = 18. The value of k isRead the answer and worked solution →The line 2x + y = k passes through (3, 4). What is k?Read the answer and worked solution →Lines 3x + y = 9 and x + y = 5 intersect atRead the answer and worked solution →The lines y = 2x and y = x + 4 cross each other atRead the answer and worked solution →

Worked practice questions

A line passes through (2, 3) and (6, 11). What is its slope?

  1. 3
  2. 1
  3. 2
  4. 4
Show answer and solution

Correct answer: C. 2

Rise is 11 - 3 = 8 and run is 6 - 2 = 4, so the slope is 8/4 = 2.

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Find the slope of the line joining the points (1, 5) and (4, 14).

  1. 3
  2. 2
  3. 6
  4. 4
Show answer and solution

Correct answer: A. 3

The change in y is 9 and the change in x is 3, giving a slope of 3.

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Points (3, 7) and (5, 3) lie on a line. Its slope is

  1. -2
  2. -4
  3. 2
  4. 4
Show answer and solution

Correct answer: A. -2

The y value falls by 4 while x rises by 2, so the slope is -4/2 = -2.

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