Intercepts of a Line
Any slanted (diagonal) line has two intercepts:
* The x-intercept is the point where the line crosses the x-axis
* The y-intercept is the point where the line crosses the y-axis
Given the equation of a line:
y = 3x - 6
The x-intercept can be found by setting y = 0 and solving for x:
0 = 3x - 6
Adding 6:
3x = 6
Dividing by 3:
x = 2
Thus the x-intercept is at (2, 0)
The y-intercept can be found by setting x = 0 and solving for y:
y = 3(0) - 6
y = -6
The y-intercept is at (0, -6)
