QUESTION IMAGE
Question
22/40 find the slope of the line. 1/1 0 -1/1 undefined
Step1: Recall slope formula
The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Step2: Analyze the line's direction
The line in the graph is horizontal (parallel to the \( x \)-axis). For a horizontal line, the \( y \)-coordinates of all points on the line are the same. Let's take two points on the line, say \((x_1, y)\) and \((x_2, y)\). Then \( y_2 - y_1=y - y = 0 \), and \( x_2 - x_1
eq0 \) (unless it's a single point, but it's a line).
Step3: Calculate the slope
Substituting into the slope formula, \( m=\frac{0}{x_2 - x_1}=0 \) (since \( x_2 - x_1
eq0 \), division by a non - zero number gives 0).
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