Questions: What is the slope of the graph? Leave your answer as a reduced fraction. Slope =

What is the slope of the graph? Leave your answer as a reduced fraction.

Slope =
Transcript text: Homework: Section 12.1 Score: $1 / 10$ Answered: $1 / 10$ Question 2 What is the slope of the graph? Leave your answer as a reduced fraction. Slope $=$ $\square$
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Solution

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Solution Steps

Step 1: Identify Two Points on the Line

To find the slope of the line, we need to identify two points through which the line passes. From the graph, we can see that the line passes through the points \((-8, -8)\) and \((2, 2)\).

Step 2: Use the Slope Formula

The slope \(m\) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 3: Substitute the Points into the Formula

Substitute the points \((-8, -8)\) and \((2, 2)\) into the slope formula: \[ m = \frac{2 - (-8)}{2 - (-8)} = \frac{2 + 8}{2 + 8} = \frac{10}{10} \]

Final Answer

The slope of the line is: \[ \text{Slope} = 1 \]

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