Straight Lines Archives - Mathematics

9.3.7 Straight Lines, PT3 Focus Practice

February 12, 2022October 12, 2018 by

Question 13: Diagram shows a straight line ST and a straight line PQ drawn on a Cartesian plane. ST is parallel to PQ. Given that equation of the straight line ST is 2y = 8x + 3. Find, (a) the equation of the straight line PQ, (b) the x-intercept of the straight line PQ. … Read more

9.3.6 Straight Lines, PT3 Focus Practice

July 11, 2020October 11, 2018 by

Question 11: Diagram 11 shows two parallel straight lines, POQ and RMS drawn on a Cartesian plane. Diagram 11 Find (a) the equation of the straight line RMS, (b) the x-intercept of the straight line MN. Solution: (a) m RMS = m POQ = 1−0 −2−0 =− 1 2 At point ( 4, 6 ) y 1 =m x 1 +c 6=− … Read more

9.3.5 Straight Lines, PT3 Focus Practice

July 11, 2020October 9, 2018 by

Question 9: The diagram above shows that the straight line PMQ intersects with PNR at N. Given that OQ = OR and M is the midpoint of PQ. Find (a) the coordinate of P (b) the value of m and n. Solution: (a) Given M is midpoint of PQ x-coordinate of P=0 For y-coordinate of P, y+0 2 =3 y=6 Coordinates of P=( 0,6 ). (b) 0+4 … Read more

9.3.4 Straight Lines, PT3 Focus Practice

July 11, 2020October 7, 2018 by

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 … Read more

9.3.3 Straight Lines, PT3 Focus Practice

July 11, 2020October 5, 2018 by

Question 5: In the diagram above, a straight line 5x + 7y + 35 = 0 intersects with the x-axis and y-axis at R and S respectively. Determine (a) the gradient of the straight line RS. (b) the x-intercept of the straight line RS. (c) the distance of RS. Solution: (a) 5 x … Read more

9.3.2 Straight Lines, PT3 Focus Practice

July 11, 2020October 3, 2018 by

Question 3: Diagram below shows a straight line JK and a straight line ST drawn on a Cartesian plane. JK is parallel to ST. Find (a) the equation of the straight ST, (b) the x-intercept of the straight line ST. Solution: (a) JK is parallel to ST, therefore gradient of JK = gradient of ST. = 8 … Read more

9.3.1 Straight Lines, PT3 Focus Practice

July 11, 2020October 1, 2018 by

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 more

9.2.2 Equation of Parallel Lines

July 11, 2020September 8, 2018 by

(A) Equation of Parallel Lines To find the equation of the straight line which passes through a given point and parallel to another straight line, follow the steps below: Step 1 : Let the equation of the straight line take the form y = mx + c. Step 2 : Find the gradient of the … Read more

9.2 Gradient of Parallel Lines

July 11, 2020September 5, 2018 by

9.2.1 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 more

9.1.1 Equation of a Straight Line

July 11, 2020September 1, 2018 by

9.1.1 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 more