Final answer:
Equations y = 3x - 8, y = 5x - 8, y = 2x - 8, and y = ⅓x - 8 all have the same y-intercept of -8. These are identified by examining the constant term in each equation.
Step-by-step explanation:
The question is asking us to identify all the linear equations that have the same y-intercept. The y-intercept of a line is the point where the line crosses the y-axis, which is represented by the constant term (also known as the b term) in the equation of a line, y = mx + b, where m is the slope and b is the y-intercept.
Looking at the given equations:
- y = 3x - 8
- y = 3x - 9
- y = 3x + 8
- y = 5x - 8
- y = 2x - 8
- y = ⅓x - 8
All the equations that share the same y-intercept of -8 are:
- y = 3x - 8
- y = 5x - 8
- y = 2x - 8
- y = ⅓x - 8