Question

1. Look at the graph. How many points of intersection do the lineshave?

Answer 1

One point (5, 3)

Step-by-step explanation

The two equations we are given are:

x + y = 8

x - y = 2

To plot these graphs, we have to let x be equal to 0, find y and then make y equal to 0 and find x.

For x + y = 8:

=> y = 8 - x

when x = 0:

y = 8 - 0

y = 8

when y = 0:

0 = 8 - x

x = 8

So, we have two points for the graph: (0, 8) and (8, 0)

For x - y = 2:

when x = 0:

0 - y = 2

=> y = -2

when y = 0:

x - 0 = 2

x = 2

This would not be sufficient, so let us assume x to be 8:

x = 8:

8 - y = 2

y = 8 - 2

y = 6

So, we will use two points for the graph: (0, -2) and (8, 6)

Let us plot them:

As we can see there is only one point of intersection and that point is (5,3)