Question

the ful line goes through points (-1,1) and (2,7) the dotted line goes through points (1,7) and(-3,-5)
Use the function graphs to solve the equation 2x+3=3x+4
.

(1 point)
Responses

−1
negative 1

2
2

1
1

7

Answer 1

To solve the equation \( 2x + 3 = 3x + 4 \), let's first rearrange the equation:

1. Subtract \( 2x \) from both sides:
\[
3 = x + 4
\]

2. Subtract \( 4 \) from both sides:
\[
3 - 4 = x \quad \Rightarrow \quad -1 = x
\]

So, the solution to the equation is \( x = -1 \).

Among the responses given, the correct answer is:
- **−1 (negative 1)**.