Question

Which point below is a solution to the equation y = 2x − 5
?(1 point)
Responses

(-1, -5)

(2, 0)

(1, -3)

(4, 2)

Answer 1

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

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

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

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

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

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