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 RS= 31 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:
RS=10 units, OS=6 units OR= 10 2 ( 6 ) 2 =8 units y-intercept of RS=6 x-intercept of RS=8 Using the gradient formula, m= y-intercept x-intercept  Gradient of RS=( 6 8 )= 3 4

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

Solution:
Rearrange the equation in the form y = mx + c
3x – 4y = 24
4y = 3x – 24
y= 3 4 x6

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 .