5.7.3 The Straight Line, SPM Paper 2

Question 7:The diagram above shows a parallelogram on a Cartesian plane. MP and NO are parallel to the y-axis. Given that the distance of MZ is 4 units. Find(a) the value of p and q.(b) the equation of the straight line MN.Solution: (a) Line NO is parallel to y-axis, p=2 MP= 3 2 + 4 2   = 9+16   = 25 … Read more5.7.3 The Straight Line, SPM Paper 2

5.5 Parallel Lines

5.5 Parallel Lines   (A) Gradient of parallel lines 1. Two straight lines are  parallel if they have the same gradient. If PQ // RS, then mPQ = mRS     2. If two straight lines have  the same gradient, then   they are parallel.  If mAB = mCD then AB // CD Example 1: Determine whether the two straight lines are parallel. (a) 2y – 4x … Read more5.5 Parallel Lines

5.4 Equation of a Straight Line

5.4 Equation of a Straight Line: y = mx + c 1. Given the value of the gradient, m, and the y-intercept, c, an equation of a straight line y = mx + c can be formed. 2. If the equation of a straight line is written in the form y = mx + c, the gradient, m, … Read more5.4 Equation of a Straight Line

5.3 Intercepts

5.3 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 more5.3 Intercepts

5.7.2 The Straight Line, SPM Paper 2

Question 4: In the diagram above, PQRS is a parallelogram. Find (a)  the gradient of SR, (b) the equation of QR, (c)  the x-intercept of QR. Solution: (a) PQ is parallel to SR, gradient of PQ = gradient of SR. Gradient of SR=− 6 −3 =2 (b) Gradient of QR= 8−6 5−0 = 2 5 Substitute m= 2 5  and R (5,8) into y=mx+c 8= 2 … Read more5.7.2 The Straight Line, SPM Paper 2

5.7.1 The Straight Line, SPM Paper 2

Question 1: In diagram below, ABCD is a trapezium drawn on a Cartesian plane. BC is parallel to AD and O is the origin. The equation of the straight line BC is 3y = kx+ 7 and the equation of the straight line AD is y = 1 2 x + 3 Find (a) the value of k, (b) the x-intercept … Read more5.7.1 The Straight Line, SPM Paper 2

5.1 Gradient of a Straight Line

5.1 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 more5.1 Gradient of a Straight Line