Finding the x-intercept, step by step
The x-intercept is where a line crosses the x-axis.
The question
the x-intercept of 3x + 5y = −15
3x + 5y = −15y = 0
3x = −15
x = −5
- The x-intercept is where the line crosses the x-axis, and there y = 0. Put y = 0 into 3x + 5y = −15.
- The y-term disappears, leaving 3x = −15.
- Divide by 3: −15 ÷ 3 = −5 — so the x-intercept is −5.
How it works.
- 01
The x-intercept is where the line crosses the x-axis, and there y = 0. Put y = 0 into 3x + 5y = −15.
- 02
The y-term disappears, leaving 3x = −15.
- 03
Divide by 3: −15 ÷ 3 = −5 — so the x-intercept is −5.