Question

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

(-1, -5)
(-1, -5)

(1, -3)
(1, -3)

(4, 2)
(4, 2)

(2, 0)

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 it results in the corresponding \( y \) value.

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

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

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

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

From the above calculations, the point \( (1, -3) \) is a solution to the equation \( y = 2x - 5 \).