graphing :

y = 3/4x +2

the points i have are:

(-3, -1/4), (-2,1/2),(-1,1 and 1/4)0,2),(1, 2 and 3/4),(2, 3and 1/2)(3, 4 and 1/4),(4,5)

Question: If you graphed this...did the points fall on the line? If they did, they have to be points on the line.

graphing :

y = 3/4x +2

the points i have are:

(-3, -1/4), (-2,1/2),(-1,1 and 1/4)0,2),(1, 2 and 3/4),(2, 3and 1/2)(3, 4 and 1/4),(4,5)

so i should pick points that have whole numbers.

To determine if the given points fall on the line represented by the equation y = (3/4)x + 2, we need to substitute the x-coordinate of each point into the equation and check if the resulting y-coordinate matches the corresponding point.

Let's go through each of the given points:

1. (-3, -1/4):
- Substitute x = -3 into the equation: y = (3/4)(-3) + 2
- Simplify: y = -9/4 + 2 = -9/4 + 8/4 = -1/4
- The y-coordinate matches the given value of -1/4, so this point falls on the line.

2. (-2, 1/2):
- Substitute x = -2 into the equation: y = (3/4)(-2) + 2
- Simplify: y = -6/4 + 2 = -6/4 + 8/4 = 2/4 = 1/2
- The y-coordinate matches the given value of 1/2, so this point falls on the line.

3. (-1, 1 and 1/4):
- Substitute x = -1 into the equation: y = (3/4)(-1) + 2
- Simplify: y = -3/4 + 2 = -3/4 + 8/4 = 5/4
- The y-coordinate does not match the given value of 1 and 1/4 (5/4), so this point does not fall on the line.

4. (0, 2):
- Substitute x = 0 into the equation: y = (3/4)(0) + 2
- Simplify: y = 0 + 2 = 2
- The y-coordinate matches the given value of 2, so this point falls on the line.

5. (1, 2 and 3/4):
- Substitute x = 1 into the equation: y = (3/4)(1) + 2
- Simplify: y = 3/4 + 8/4 = 11/4
- The y-coordinate does not match the given value of 2 and 3/4 (11/4), so this point does not fall on the line.

6. (2, 3 and 1/2):
- Substitute x = 2 into the equation: y = (3/4)(2) + 2
- Simplify: y = 6/4 + 8/4 = 14/4 = 7/2
- The y-coordinate matches the given value of 3 and 1/2 (7/2), so this point falls on the line.

7. (3, 4 and 1/4):
- Substitute x = 3 into the equation: y = (3/4)(3) + 2
- Simplify: y = 9/4 + 8/4 = 17/4
- The y-coordinate does not match the given value of 4 and 1/4 (17/4), so this point does not fall on the line.

8. (4, 5):
- Substitute x = 4 into the equation: y = (3/4)(4) + 2
- Simplify: y = 12/4 + 8/4 = 20/4 = 5
- The y-coordinate matches the given value of 5, so this point falls on the line.

Therefore, the points that fall on the line represented by y = (3/4)x + 2 are (-3, -1/4), (-2, 1/2), (0, 2), (2, 3 and 1/2), and (4, 5).