Worksheet Chapter 10: Gradient of a Straight Line

1. Which formula correctly represents the gradient using intercepts?

2. Calculate the gradient of the straight line passing through (2, -1) and (8, 11).

3. A mountain road rises 150 m vertically over a horizontal distance of 2 km. (a) Convert 2 km to meters. (b) Calculate the gradient of the road.

4. True or False: A line with a gradient of -4 is steeper than a line with a gradient of 2.

5. Line L1 passes through A(-2, 1) and B(4, 13). Line L2 passes through C(0, -2) and D(3, 4). (a) Calculate the gradient of L1. (b) Calculate the gradient of L2. (c) State whether L1 and L2 are parallel.

6. A line segment AB has point A(3, 8) and point B(9, -4). (a) Calculate the gradient of line AB. (b) Find the coordinates of the midpoint M of AB. (c) Calculate the gradient of the line passing through origin O(0,0) and midpoint M.

7. Fill in the blank: The gradient of a straight line is the ratio of ________ distance to horizontal distance.

8. A straight line has an x-intercept of 5 and a y-intercept of -15. Calculate its gradient.

9. The gradient of a straight line passing through P(k, 3) and Q(4, 9) is 3. Find the value of k.

10. True or False: The gradient of a line parallel to the y-axis is zero.