Find the slope of the line .

To find the slope of a line, you need to know either the equation of the line or two points that lie on the line. Here are the steps for both scenarios:

Scenario 1: Given the Equation of the Line

If the equation of the line is given in the slope-intercept form, which is $y = mx + b$, the slope is the coefficient of $x$, denoted as $m$.

Example: Given the equation $y = 3x + 2$, the slope $m$ is 3.

Scenario 2: Given Two Points on the Line

If you have two points on the line, say $(x_1, y_1)$ and $(x_2, y_2)$, you can find the slope using the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Example: Given points $(1, 2)$ and $(3, 6)$:

1. Identify the coordinates: $(x_1, y_1) = (1, 2)$ and $(x_2, y_2) = (3, 6)$.
2. Substitute into the formula: $m = \frac{6 - 2}{3 - 1} = \frac{4}{2} = 2$

So, the slope $m$ is 2.

Summary

• If you have the equation $y = mx + b$, the slope is $m$.
• If you have two points $(x_1, y_1)$ and $(x_2, y_2)$, use $m = \frac{y_2 - y_1}{x_2 - x_1}$.

Please provide the specific details (equation or points) if you need a more precise answer.