Question

what point below is a solution to the equation y = 2x - 5

Answer 1

(2, 0)
(-1 -5)
(4, 2)
(1, -3)

Answer 2

To determine if a point \((x, y)\) is a solution to the equation \(y = 2x - 5\), you simply need to substitute the \(x\) value of the point into the equation and check if the resulting \(y\) value matches the \(y\) value of the point.

If you have specific points in mind, please provide them, and I'll help you verify which one is a solution to the equation. If not, we can also choose some example points to test against the equation.

Answer 3

Let's check each of the points to see if they satisfy the equation \(y = 2x - 5\).

1. **Point (2, 0)**:
\[
y = 2(2) - 5 = 4 - 5 = -1
\]
The calculated \(y\) value is \(-1\), which does not equal \(0\). This point is **not** a solution.

2. **Point (-1, -5)**:
\[
y = 2(-1) - 5 = -2 - 5 = -7
\]
The calculated \(y\) value is \(-7\), which does not equal \(-5\). This point is **not** a solution.

3. **Point (4, 2)**:
\[
y = 2(4) - 5 = 8 - 5 = 3
\]
The calculated \(y\) value is \(3\), which does not equal \(2\). This point is **not** a solution.

4. **Point (1, -3)**:
\[
y = 2(1) - 5 = 2 - 5 = -3
\]
The calculated \(y\) value is \(-3\), which equals \(-3\). This point **is** a solution.

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