Gradient of a Straight Line

Question 6: Diagram below shows a straight line RS with equation 3y = –px – 12, where p is a constant.   It is given that OR: OS = 3 : 2. Find the value of p. Solution: Method 1: Substitute x= –6 and y = 0 into 3y = –px – 12: 3(0) = –p … Read more

Question 1: Diagram below shows a straight line RS on a Cartesian plane.   Find the gradient of RS. Solution: Using gradient formula  y 2 − y 1 x 2 − x 1 Gradient of RS= 3−1 5−( −1 ) = 2 6 = 1 3 Question 2: In diagram below, PQ is a straight line with gradient  − … Read more

10.3.1 Intercepts   1. The x-intercept is the point of intersection of a straight line with the x-axis. 2. The y-intercept is the point of intersection of a straight line with the y-axis. 3. In the above diagram, the x-intercept of the straight line PQ is 6 and the y-intercept of PQ is 5.   4. If the … Read more

Example 1: Given that a straight line passes through points (-3, -7) and (4, 14). What is the gradient of the straight line? Solution: Let (x1, y1) = (-3, -7) and (x2, y2) = (4, 14). Gradient of the straight line  = y 2 − y 1 x 2 − x 1 = 14 − … Read more

10.1.1 Gradient of a Straight Line The gradient of a straight line is the ratio of the vertical distance to the horizontal distance between any two given points on the straight line. Gradient, m = Vertical distance Horizontal distance Example: Find the gradient of the straight line above. Solution: Gradient, m = Vertical distance Horizontal … Read more