10 questions · Form 3 Mathematics Bab 9: Straight Lines
10 questions · plays in fullscreen
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. If a line passes through (3, y) and (1, 2) with a gradient of 4, what is the value of y?
Answer: A
Gradient m = y - 23 - 1 = 4 => y - 22 = 4 => y - 2 = 8 => y = 10.
2. What is the equation of the line passing through the origin (0,0) with gradient -4?
Answer: A
A line passing through the origin has y-intercept c = 0. Substituting m = -4 gives y = -4x.
3. What does 'm' represent in the gradient-intercept equation of a straight line y = mx + c?
Answer: C
In the equation y = mx + c, 'm' represents the gradient (slope) of the straight line.
4. Which point lies on the straight line y = 2x - 3?
Answer: B
Substitute x = 2 into y = 2(2) - 3 = 4 - 3 = 1. The point (2, 1) satisfies the equation.
5. What is the formula for the gradient of a line passing through points (x1, y1) and (x2, y2)?
Answer: B
Gradient m is defined as vertical change divided by horizontal change, which is y2 - y1x2 - x1.
6. If a line has an x-intercept of 4 and a y-intercept of 8, what is its gradient?
Answer: A
Gradient m = -(y-intercept / x-intercept) = -(84) = -2.
7. Find the equation of a line parallel to y = 5x - 2 that passes through the point (1, 8).
Answer: A
Parallel line has gradient m = 5. Substitute (1, 8): 8 = 5(1) + c => c = 3. Equation: y = 5x + 3.
8. What is the gradient of any horizontal line parallel to the x-axis?
Answer: A
Horizontal lines have zero vertical change (y2 - y1 = 0), so their gradient is always 0.
9. What is the gradient of a vertical line perpendicular to the x-axis?
Answer: A
For a vertical line, x2 - x1 = 0. Division by zero makes the gradient undefined.
10. Find the gradient of the straight line passing through points A(2, 3) and B(6, 11).
Answer: A
Gradient m = 11 - 36 - 2 = 84 = 2.