5.6 The Straight Line, SPM Practice, Paper 1 (Short Questions)


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 R S = 3 1 5 ( 1 ) = 2 6 = 1 3



Question 2:
In diagram below, PQ is a straight line with gradient  1 2 .

Find the x-intercept of the straight line PQ.

Solution:
Using the gradient formula, m = y-intercept x-intercept 1 2 = ( 3 x-intercept ) x-intercept = 3 × ( 2 ) = 6



Question 3:
Diagram below shows a straight line RS drawn on a Cartesian plane.
 
It is given that the distance of RS is 10 units.
Find the gradient of RS.

Solution:
R S = 10 units, O S = 6 units O R = 10 2 ( 6 ) 2 = 8 units y-intercept of R S = 6 x-intercept of R S = 8 Using the gradient formula, m = y-intercept x-intercept Gradient of R S = ( 6 8 ) = 3 4


Question 4:
The gradient of the straight line 3x – 4= 24 is

Solution:
Rearrange the equation in the form y = mx+ c
3x – 4y = 24
4y = 3x – 24
y = 3 4 x 6

Therefore, gradient of the straight line = 3 4 .


Question 5:
Determine the y-intercept of the straight line 3x + 2y = 5

Solution:
For y-intercept, x = 0
3(0) + 2y = 5
y = 5 2 y -intercept = 5 2 .

Leave a Reply

Your email address will not be published. Required fields are marked *