Line Segment
1. The problem presents a coordinate plane with x and y axes labeled from -7 to 7, and a line segment plotted roughly along $y = x$ from $(-5, -6)$ to $(5, 6)$.
2. We are asked to analyze the line and verify its equation or characteristics.
3. First, check the slope $m$ using the endpoints:
$$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - (-6)}{5 - (-5)} = \frac{12}{10} = 1.2.$$
4. The slope is approximately $1.2$, close to 1 but slightly different.
5. Next, find the equation of the line in the form $y = mx + b$. Use one point, for example $(-5, -6)$:
$$-6 = 1.2 \times (-5) + b \Rightarrow -6 = -6 + b \Rightarrow b = 0.$$
6. So, the line equation is approximately:
$$y = 1.2x.$$
7. The line is similar to $y = x$ but slightly steeper, confirmed by the slope and position of endpoints.
8. Therefore, the plotted line segment extends roughly from $(-5, -6)$ to $(5, 6)$ with equation $y = 1.2x$.