Question

Which of the following ordered pairs is part of the solution set for the equation y=2x+5

A graph shows both the x-axis and y-axis, ranging from negative 10 to 10 in increments of 5. A line passes through the first, second, and third quadrants.
(1 point)
Responses

(9,2)
(9,2)
(-2,-1)
(-2,-1)
(-3,-4)
(-3,-4)
(-3,-1)

Answer 1

To determine which of the ordered pairs is part of the solution set for the equation \( y = 2x + 5 \), we can substitute the \( x \) values from each pair into the equation and check if the resulting \( y \) value matches the given \( y \) in the ordered pair.

1. **For (9, 2)**:
\[
y = 2(9) + 5 = 18 + 5 = 23 \quad \text{(Not a solution)}
\]

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

3. **For (-3, -4)**:
\[
y = 2(-3) + 5 = -6 + 5 = -1 \quad \text{(Not a solution)}
\]

4. **For (-3, -1)**:
\[
y = 2(-3) + 5 = -6 + 5 = -1 \quad \text{(This is a solution)}
\]

The only ordered pair from the options given that is part of the solution set for the equation \( y = 2x + 5 \) is **(-3, -1)**.