Use the image to answer the question.

Question

Two lines slope upward on a coordinate plane. A solid line passes through the plotted point left parenthesis 2 comma 7 right parenthesis. A dotted line intersects the first line at the plotted point left parenthesis negative 1 comma 1 right parenthesis.

Use the function graphs to solve the equation 2x+3=3x+4
.

(1 point)
Responses

1
1

7
7

−1
negative 1

2

Answer 1

To solve the equation \(2x + 3 = 3x + 4\), we first need to rearrange the equation to isolate \(x\).

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

2. Next, subtract \(4\) from both sides: \[ -1 = x \]

Thus, the solution to the equation \(2x + 3 = 3x + 4\) is \(x = -1\).

So the correct response is: \[ \text{-1} \]