It looks like you uploaded an image of a graph with lines representing the "rise" and "run" of a line, and the question asks to state the slope of the line in simplified form.

To determine the slope, we use the formula:

$\text{slope} = \frac{\text{rise}}{\text{run}}$

Let me take a closer look at the graph to determine the rise and run values.

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Analysis of the Image:

• The blue line on the graph rises as it moves from left to right, indicating a positive slope.
• The rise seems to be the vertical change between two points on the line, and the run is the horizontal change.

I'll analyze the graph now to calculate the slope.From analyzing the graph in the image, it looks like the line has the following characteristics:

• Rise: The vertical distance between two points on the line.
• Run: The horizontal distance between the same two points.

Based on the grid:

• The line rises by 4 units (from $y = 0$ to $y = 4$).
• The line runs by 3 units (from $x = 0$ to $x = 3$).

So, the slope of the line can be calculated as:

$\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{4}{3}$

Therefore, the slope of the line in simplified form is $\frac{4}{3}$.

Would you like more details or have any questions? Here are 5 related questions:

1. What does a negative slope indicate about the direction of a line?
2. How would you graph a line with a slope of $\frac{-4}{3}$?
3. What is the slope of a horizontal line, and why?
4. How can you find the slope of a line given two points?
5. How does the slope of a line relate to its steepness?

Tip: The slope is a measure of how steep a line is. The larger the absolute value of the slope, the steeper the line.