Questions: 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 $=$ $\square$
Solution
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:
\[ m = \frac{2 - (-8)}{2 - (-8)} = \frac{2 + 8}{2 + 8} = \frac{10}{10} \]