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

Question 1:
Diagram below shows a straight line RS on a Cartesian plane.

Solution:

Question 2:
In diagram below, PQ is a straight line with gradient $-\frac{1}{2}$ .

Find the x-intercept of the straight line PQ.

Solution:

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.

Solution:

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
$y=\frac{3}{4}x-6$

Therefore, gradient of the straight line = $\frac{3}{4}.$

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

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