Question

Select the given points that lie on the graph of the linear equation 4x−y=3.

a) (0, -3)
b) (1, 1)
c) (2, 5)
d) (-1, -7)

Answer 1

All four given points (a), b), c), and d)) lie on the graph of the linear equation 4x - y = 3.

Step-by-step explanation:

To determine which points lie on the graph of the linear equation 4x - y = 3, we can substitute the x and y values from each given point into the equation and check if it makes the equation true.

1. (0, -3): Substituting x = 0 and y = -3 into the equation, we get 4(0) - (-3) = 3, which is true.
2. (1, 1): Substituting x = 1 and y = 1 into the equation, we get 4(1) - 1 = 3, which is true.
3. (2, 5): Substituting x = 2 and y = 5 into the equation, we get 4(2) - 5 = 3, which is true.
4. (-1, -7): Substituting x = -1 and y = -7 into the equation, we get 4(-1) - (-7) = 3, which is true.

Therefore, all four given points (a), b), c), and d)) lie on the graph of the linear equation 4x - y = 3.