To find the slope of the line segment connecting the two points, we will use the slope formula.
Step 1: Identify the coordinates of the two points.
From the graph, we have two points:
* Point 1: $(x_1, y_1) = (5, -3)$
* Point 2: $(x_2, y_2) = (9, 1)$
Step 2: Use the slope formula.
The formula for slope ($m$) is the change in $y$ divided by the change in $x$:
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
Step 3: Substitute the values into the formula.
$$m = \frac{1 - (-3)}{9 - 5}$$
Step 4: Simplify the numerator and denominator.
* Numerator (change in $y$): $1 - (-3) = 1 + 3 = 4$
* Denominator (change in $x$): $9 - 5 = 4$
So, the equation becomes:
$$m = \frac{4}{4}$$
Step 5: Divide to find the final answer.
$$m = 1$$
The slope of the line is 1.
Final Answer:
1
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