5.3 Intercepts (Sample Questions)


Example 1:









The x-intercept of the line ST is

Solution:

The x-coordinate for the point of intersection of the straight line with x-axis is -0.4.
Therefore the x-intercept of the line ST is 0.4.



Example 2:
Find the x-intercept of the straight line 2x + 3y + 6 = 0.

Solution:
2x + 3y + 6 = 0
At x-intercept, y = 0
2x + 3(0) + 6 = 0
2x = –6
x = –3



Example 3:
What is the y-intercept of the straight line 12x – 15y = 60?

Solution:
12x – 15y = 60
At y-intercept, x = 0
12(0) – 15y = 60
– 15y = 60
= –4