The slope-intercept form: y = mx + b
m - slope
b - y-intercept
y = 5x + 2 and y = 5x – 8
m = 5 m = 5
b = 2 b = -8
When comparing equations:
1. Put in <u>slope-intercept</u> form.
2. Compare the <u>slopes and the y-intercepts</u>!
This system has <u>no solution.</u>
Because we have the same slopes and different y-intercepts.
If the slopes are the same and the y-intercepts are the same, then that system has infinitely many solutions.
If the slopes are different, then that system has one solution.
