Find 5 ordered pairs that satisfy each relation. Draw each graph.
4. x+y=7 5. x+y=6 6. x-y=1
7. x-y=0 8. x+y=0 9. y-x+0
Hey, do it the easy way, find the x axis intercept where y = 0 and the y axis intercept where x = 0 for each line.
by the way #9 is a typo. Perhaps x = y ?
1. ____ are stored by the body as energy reserves.
Lipids
Carbohydrates
Proteins
Nucleic acids
To find ordered pairs that satisfy each relation, we need to substitute different values for x and solve for y (or vice versa). Let's go through each relation and find 5 ordered pairs for each.
4. x+y=7:
To find the ordered pairs, we can assign arbitrary values to x and solve for y. Let's choose some simple values for x: 0, 1, 2, 3, and 4.
When x=0, y=7.
When x=1, y=6.
When x=2, y=5.
When x=3, y=4.
When x=4, y=3.
So the five ordered pairs that satisfy x+y=7 are (0, 7), (1, 6), (2, 5), (3, 4), and (4, 3).
Now let's draw the graph of this relation on a coordinate plane:
(Insert graph here)
5. x+y=6:
Following the same method, we can substitute different values for x and solve for y. Let's choose some simple values for x again: 0, 1, 2, 3, and 4.
When x=0, y=6.
When x=1, y=5.
When x=2, y=4.
When x=3, y=3.
When x=4, y=2.
So the five ordered pairs that satisfy x+y=6 are (0, 6), (1, 5), (2, 4), (3, 3), and (4, 2).
Graph of x+y=6:
(Insert graph here)
6. x-y=1:
We will follow the same method again. Let's substitute different values for x: 0, 1, 2, 3, and 4.
When x=0, y=-1.
When x=1, y=0.
When x=2, y=1.
When x=3, y=2.
When x=4, y=3.
So the five ordered pairs that satisfy x-y=1 are (0, -1), (1, 0), (2, 1), (3, 2), and (4, 3).
Graph of x-y=1:
(Insert graph here)
7. x-y=0:
As before, substituting different values for x: 0, 1, 2, 3, and 4.
When x=0, y=0.
When x=1, y=1.
When x=2, y=2.
When x=3, y=3.
When x=4, y=4.
So the five ordered pairs that satisfy x-y=0 are (0, 0), (1, 1), (2, 2), (3, 3), and (4, 4).
Graph of x-y=0:
(Insert graph here)
8. x+y=0:
Again, substituting different values for x: 0, 1, 2, 3, and 4.
When x=0, y=0.
When x=1, y=-1.
When x=2, y=-2.
When x=3, y=-3.
When x=4, y=-4.
So the five ordered pairs that satisfy x+y=0 are (0, 0), (1, -1), (2, -2), (3, -3), and (4, -4).
Graph of x+y=0:
(Insert graph here)
9. y-x+0:
For this relation, the equation is y-x=0, which simplifies to y=x. We can substitute different values for x and y will be equal to x. Let's use the same values again: 0, 1, 2, 3, and 4.
When x=0, y=0.
When x=1, y=1.
When x=2, y=2.
When x=3, y=3.
When x=4, y=4.
So the five ordered pairs that satisfy y-x=0 are (0, 0), (1, 1), (2, 2), (3, 3), and (4, 4).
Graph of y-x=0:
(Insert graph here)
Please note that the graphs of all the equations are straight lines since they are linear equations.