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

2
2

7
7

1
1

−1

Answer 1

To solve the equation \(2x + 3 = 3x + 4\), we can simplify it:

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

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

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

Thus, among the responses given, the correct response is:
\(-1\).