Question

Should the lines be paratroopers on the graph of x+y=2 and -x+y=7

Answer 1

To determine if the lines x+y=2 and -x+y=7 should be paratroopers on a graph, we need to check if the lines intersect or are parallel.

First, let's find the point of intersection by solving the system of equations:
x+y=2
-x+y=7

Adding the two equations, we get:
2y = 9
y = 4.5

Substituting y=4.5 back into one of the original equations, we find:
x + 4.5 = 2
x = -2.5

So the lines intersect at the point (-2.5, 4.5).

Since the lines intersect, they are not parallel. Therefore, the lines can be considered as paratroopers on the graph.