Graph both lines and look where they intersect. What relation do line's with the same slope have?
No solution.
Practice makes perfect
Examining the equations, we see that they are both lines written in slope-intercept form.
c
y= mx+ b [0.2em]
[-1em]
&Slope: m &y-intercept: b
This means we can directly identify its slope and y-intercept.
|c|c|c|
Function & m & b
[-0.8em]
y= -2/5x+ 1 & -2/5 & 1 [0.8em]
[-0.8em]
y= -2/5x - 2 & -2/5 & -2 [0.8em]
As we can see, the functions have the same slope but different y-intercepts. This means the equations describes parallel lines.
Therefore, the lines will never intersect which means the system has no solution.
