Let's start with solving for line L using slope-intercept form (y=mx+b)
We can see that the y-intercept is 4, and the slope is rise/run. From point (5,2) to (0,5), the rise is 2, and the run is -5 (it goes backwards 5).
Using this, we can form our equation for Line L: y = -2/5x + 4
Now let's solve for Line M.
There is something very important to notice before we jump into this. Both of these lines (Line L and M) are parallel (they never touch) and therefore will contain the same slope as each other (-2/5). The y-intercept for this equation we can see is -1, as the line touches (0,-1). Now lets form our equation;
Line M: y = -2/5+4
Solving a system of equation means to find two (or more) line's interceptions on a graph (where they meet/touch). Because both of these lines are parallel and never touch each other, there is no definite answer. Therefore our answer is No Solutions.
If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.
