Initial Diagnostic Audit - Unit G2: Straight Lines
Section G2.1 - Gradient
What is the gradient of each of the lines shown below?
Where gradient values are not integers, input as a decimal, given correct to 2 d.p. where appropriate
1. Line A Gradient =
2. Line B Gradient =
3. Line C Gradient =
4. Find the gradient of the line that joins the points with coordinates (2, -2), (-6, 2).
5. Find the missing coordinate to ensure that AB is parallel to CD when points A, B, C and D have coordinates
Section G2.2 - Gradients of Perpendicular Lines
Where gradient values are not integers, input as a decimal, given correct to 2 d.p. where appropriate
6.
What is the gradient of the line perpendicular to the line segment joining A (4, 7) to B (7, 3)?
7.
In each case, decide whether the lines AB and PQ are parallel, perpendicular or neither.
(a) A (-2, 0), B (1, 9), P (2, 5), Q (6, 17) Parallel Perpendicular Neither
(b) A (3, 1), B (7, 3), P (-3, 2), Q (1, 0) Parallel Perpendicular Neither
8.
A triangle has vertices A (3, 1), B (7, 5) and C (1, 3). Find the gradient of each side.Yes No
Section G2.3 - Application of Graphs
9.
The graph shows the distance-time graph for a bicycle journey.
(a) What is the speed of the bike in the first 20 seconds?
10. The graph shows the speed-time graph for a car journey.
(a) What is the car's acceleration during the first 20 seconds? 2
Section G2.4 - The Equation of a Straight Line
Where gradient values are not integers, input as a decimal, given correct to 2 d.p. where appropriate
11.
What is the equation of the straight line with gradient 2 and intercept -3?y x
12. For the straight line with equation 2y x
13. What is the equation of the straight line illustrated below?
y x
14. The point with coordinates (2, 5) lies on the line y x y x
