Writing both in slope intercept form:
Line 1:
2x + 2y = 4 Subtract 2x
2y = -2x + 4 Divide both sides by 2
y = -x + 2
Line 2:
y = -x + 5
The lines have the same slope, -1, and different y-intercepts.
They are parallel lines
This problem can be seen as a rectangle triangle where the vertices are:
Vertice 1: home plate
Vertice 2: First base
Vertice 3: second base.
Right angle between vertice 1 and 2 and vertice 2 and 3.
Distance between each base in 90 '.
Calculating then the distance between home plate and second base we have:
d = root ((90) ^ 2 + (90) ^ 2)
d = 127.28 feets
answer:
the distance between home plate and second base is 127.28 feets
That means that it has 2 complex roots, and it has no x intercepts, means that it doesn't touch the x axis at all
X=0, y=6
x=1, y=4
x=2, y=2
x=3, y=0
x=4, y=-2
Hope this helps :)
