Question

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

Answer 1

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

1. For point A (4, 2):
\[
y = 2(4) - 5 = 8 - 5 = 3 \quad (\text{not } 2)
\]

2. For point B (2, 0):
\[
y = 2(2) - 5 = 4 - 5 = -1 \quad (\text{not } 0)
\]

3. For point C (1, -3):
\[
y = 2(1) - 5 = 2 - 5 = -3 \quad (\text{is } -3)
\]

4. For point D (-1, -5):
\[
y = 2(-1) - 5 = -2 - 5 = -7 \quad (\text{not } -5)
\]

The only point that satisfies the equation is point C (1, -3).

So, the solution is **C. (1, -3)**.