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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!

What is the equation of line G shown below? Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms.

Learn how to determine the equation of a line from a graph in slope-intercept form (y = mx + c). This problem involves calculating the slope using two points and identifying the y-intercept, suitable for Grades 8-10 students.

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