Question

Which of the following statements best describes the graph of x + y = 5? (4 points)

1. It is a line joining the points whose x and y-coordinates add up to 10.
2. It is a line joining the points whose x and y-coordinates add up to 5.
3. It is a line which intersects the x-axis at (5, 5).
4. It is a line which intersects the y-axis at (5, 5).

EXPLAIN WHY/HOW!!

Answer 1

It's defined by x+y=5 hence the sum of the x-coords and the y-coords is 5. Any point such that his x-coord and y-coord add up to 5 is on the line.

1 is hence False and 2 is True.

(5,5) is on none of the axus, so it can't be 3 or 4.

The answer is 2

Answer 2

Option 2 is correct that is It is a line joining the points whose x and y-coordinates add up to 5.

Explanation:

We have been given the expression:

`x+y=5`

So, we can see that the sum of x-coordinate and y-coordinate is 5.

it is a straight line here, x-intercept is (5,0) and y-intercept is (0,5)

You can see the graph of the line in the attachment.

Therefore, option 2 is correct that is It is a line joining the points whose x and y-coordinates add up to 5.