Questions: Question 1, 3.3.RA-1 Describe the slope of a line passing through two points (x1, y1) and

Transcript text: Question 1, 3.3.RA-1 Describe the slope of a line passing through two points $\left(x_{1}, y_{1}\right)$ and

Solution

Solution Steps

To find the slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$, we use the formula for the slope $m$: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 1: Identify the Given Points

We are given two points $(1, 2)$ and $(3, 4)$.

Step 2: Apply the Slope Formula

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

Step 3: Substitute the Given Points into the Formula

Substituting $(x_1, y_1) = (1, 2)$ and $(x_2, y_2) = (3, 4)$ into the formula, we get: \[ m = \frac{4 - 2}{3 - 1} = \frac{2}{2} = 1 \]

Final Answer

The slope of the line passing through the points $(1, 2)$ and $(3, 4)$ is: \[ \boxed{1} \]

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