How do you find the points of intersection?
y = (√2-x)+1
y = (√2x-2)

Step-by-step explanation:

Suppose we separated the variables into x1, x2, y1, and y2 as a general case for if neither intersected the other.

y1 = 2x1 + 3

y2 = x2 + 5

The point of intersection occurs when the two graphs have equal values of x  and  y  at the same time. There is only one solution, because two straight lines can only intersect once. (On the other hand, two curved lines may intersect twice.)

The solution will be the coordinate  (x, y) such that y1 = y2 and x1 = x2.

What we can do to proceed is assume that y1 = y2 and x1 = x2. Therefore, we get:

2x1 + 3 = x2 + 5

= x1 + 5

Subtract  x 1  from both sides to get:

x1 = x2 = 2

Now, since the solution coordinate requires that we have both  x  and  y , we need to solve for  y .

y1 = 2x + 3

= 2(2) + 3 = 7

And just to show that indeed  y 1 = y 2  if  x 1 = x 2 :

y2 = x2 + 5

= x1 + 5

= 2 + 5

= 7 = y1

Finally, that means our solution coordinate is:

    (2,7)

The line passing through the origan (Graph 2 on Edu is correct.)

Step-by-step explanation: