To determine the equation of line G, we need to find its slope $m$ and y-intercept $c$ in the equation form $y = mx + c$.

Step 1: Find the slope $m$

The slope $m$ is the change in $y$ divided by the change in $x$ between two points on the line, often called "rise over run."

From the graph, let's identify two points on line G:

• One point appears to be $(0, 20)$ (the y-intercept).
• Another point appears to be $(30, 0)$.

The slope is calculated as: $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 20}{30 - 0} = \frac{-20}{30} = -\frac{2}{3}$

Step 2: Find the y-intercept $c$

The y-intercept $c$ is where the line crosses the y-axis, which occurs at $(0, 20)$. Therefore, $c = 20$.

Final Equation

The equation of the line is: $y = -\frac{2}{3}x + 20$

Would you like further details or have any questions?

Here are five related questions for practice:

1. How do you calculate the slope of a line using two points?
2. What does the y-intercept represent in the equation of a line?
3. How can you graph a line using its equation $y = mx + c$?
4. What would happen to the slope if the line was steeper?
5. Can a line have a slope of 0? If so, what would that look like?

Tip: To find the slope quickly, always try to identify two clear points where the line crosses the grid, and remember: slope = rise over run!