Question

Which point below is a solution to the equation y = 2x - 5?
A. (1, -3)
B. (4, 2)
C. (2, 0)
D. (-1, -5)

Answer 1

To determine which point is a solution to the equation \( y = 2x - 5 \), we can substitute the x-coordinate of each point into the equation and see if we get the corresponding y-coordinate.

Let's check each point one by one:

A. For the point (1, -3):
\[
y = 2(1) - 5 = 2 - 5 = -3
\]
This matches the y-coordinate -3. So, (1, -3) is a solution.

B. For the point (4, 2):
\[
y = 2(4) - 5 = 8 - 5 = 3
\]
This does not match the y-coordinate 2. So, (4, 2) is not a solution.

C. For the point (2, 0):
\[
y = 2(2) - 5 = 4 - 5 = -1
\]
This does not match the y-coordinate 0. So, (2, 0) is not a solution.

D. For the point (-1, -5):
\[
y = 2(-1) - 5 = -2 - 5 = -7
\]
This does not match the y-coordinate -5. So, (-1, -5) is not a solution.

The only point that is a solution to the equation \( y = 2x - 5 \) is **A. (1, -3)**.