Questions: Find the slope, if it exists, of the line.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. m=□ (Type an integer or a simplified fraction.)
B. The slope is undefined.
Transcript text: Find the slope, if it exists, of the line.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $\mathrm{m}=\square$ (Type an integer or a simplified fraction.)
B. The slope is undefined.
Solution
Solution Steps
Step 1: Identify the coordinates of two points on the line
From the graph, identify two points that the line passes through. Let's say the points are (x1, y1) and (x2, y2).
Step 2: Use the slope formula
The slope \( m \) of a line passing through two points \((x1, y1)\) and \((x2, y2)\) is given by:
\[ m = \frac{y2 - y1}{x2 - x1} \]
Step 3: Calculate the slope
Substitute the coordinates of the two points into the slope formula and simplify to find the slope.
Final Answer
The slope of the line is \( m = \frac{y2 - y1}{x2 - x1} \).