9th Mathematics Chapter8 Linear graphs and their application
| Sr # | Questions | A | B | C | D |
|---|---|---|---|---|---|
| 1 | If the equation of a line is given by y = -2x + 4, what is its y-intercept? | 2 | -2 | 4 | -4 | 2 | Which quadrant(s) does the point (-3, 4) lie in? | I | II | III | IV | 3 | In the equation y = mx + c, what does ‘m’ represent? | Slope | Y-intercept | X-intercept | Constant | 4 | What is the slope of a horizontal line? | 0 | 1 | Undefined | Infinite | 5 | If the coordinates of two points on a line are (1, 5) and (3, 11), what is the slope of the line? | 3 | 6 | 2 | 4 | 6 | If two lines are parallel, what can be said about their slopes? | They are equal | They are perpendicular | They are negative reciprocals | They have opposite slopes | 7 | What is the solution to the system of equations 2x – 3y = 5 and 4x – 6y = 10? | No solution | Infinite solutions | Unique solution | Two solutions | 8 | Which of the following is the correct graph for the inequality y ≤ 2x + 3? | Shaded region above the line | Shaded region below the line | Shaded region to the left of the line | Shaded region to the right of the line | 9 | What is the midpoint of the line segment with endpoints (2, 4) and (6, 8)? | (4, 6) | (3, 5) | (5, 7) | (6, 8) | 10 | What is the standard form of a linear equation? | y = mx + c | Ax + By = C | y = x + b | mx = y + c | 11 | What is the solution to the equation 4x – 7 = 5x + 2? | x = -9 | x = 9 | x = -2 | x = 2 | 12 | What is the solution to the inequality 2x + 3 < 7? | x < 2 | x > 2 | x < 4 | x > 4 | 13 | What is the y-intercept of the line represented by the equation y = 3x + 2? | 3 | 2 | -2 | 0 | 14 | Which type of correlation is indicated by a negative slope in a scatter plot? | Positive correlation | Negative correlation | No correlation | Perfect correlation | 15 | In the equation y = 2x – 1, what is the slope? | 2 | -2 | 1/2 | -1/2 | 16 | In the equation 2x – 3y = 6, what is the slope? | 2/3 | 3/2 | -3/2 | -2/3 | 17 | What is the slope of a vertical line? | 0 | 1 | Undefined | Infinite | 18 | What is the solution to the inequality 3x + 1 > 7? | x > 2 | x < 2 | x > 6 | x < 6 | 19 | Which of the following is the slope-intercept form of the equation of a line? | Ax + By = C | y = mx + c | x = y + b | y = x + b | 20 | If a line has a positive slope, how does it slant? | Upward to the right | Downward to the right | Upward to the left | Downward to the left | 21 | What is the x-coordinate of the point of intersection for the equations y = 2x – 1 and y = x + 3? | -2 | 2 | 1 | -1 | 22 | What is the range of the function f(x) = 2x – 3 for all real numbers x? | All real numbers | x ≥ 3 | x < 3 | x ≤ 3 | 23 | If the line passes through the points (3, 5) and (6, 11), what is the equation of the line? | y = 2x + 1 | y = 3x + 2 | y = x + 4 | y = 4x - 1 | 24 | What is the solution to the system of equations y = 2x + 1 and y = -x + 3? | (1, 3) | (2, 5) | (-1, 2) | (0, 1) | 25 | If the coordinates of a point are (a, b), what is the distance of the point from the origin? | a | b | √(a^2 + b^2) | a + b |