To identify the equation of the line shown on the graph, let's analyze its slope and y-intercept:

1. Slope: The line is rising from left to right, indicating a positive slope. Observing the angle, it appears relatively steep but not as steep as the equation $y = 3x + 2$.

2. Y-intercept: The line crosses the y-axis above zero. By inspecting the position, it appears to cross at approximately $y = -1.5$, aligning well with the y-intercept of equation $G: y = 2x - 1.5$.

3. Confirmation:

   • The line has a positive slope, and $G: y = 2x - 1.5$ is the only equation with a slope of 2 and a y-intercept of -1.5, which matches the graph.

Thus, the equation of the line in the graph is:

$\text{G: } y = 2x - 1.5$

Would you like further details or have any questions?

Here are some related questions for further practice:

1. What would the line look like if the slope were negative?
2. How would the line shift if we changed the y-intercept to a positive number?
3. What is the effect of doubling the slope on the graph of a line?
4. How do we determine the equation of a line from two points on the line?
5. How would the equation change if the line were parallel but had a different y-intercept?

Tip: For linear equations, the slope-intercept form $y = mx + b$ quickly shows the slope $m$ and y-intercept $b$, making graph analysis straightforward.