Question

exit ticket (2.6): slope from 2 points c

1. find the slope of the two points.

Explanation:

Step1: Identify the coordinates of the two points.

Looking at the graph, the first point (let's call it \( (x_1, y_1) \)) is at \( (-7, -6) \) and the second point ( \( (x_2, y_2) \)) is at \( (-2, -4) \).

Step2: Use the slope formula.

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Substitute \( x_1 = -7 \), \( y_1 = -6 \), \( x_2 = -2 \), and \( y_2 = -4 \) into the formula:

\( m = \frac{-4 - (-6)}{-2 - (-7)} \)

Step3: Simplify the numerator and the denominator.

Simplify the numerator: \( -4 - (-6) = -4 + 6 = 2 \)

Simplify the denominator: \( -2 - (-7) = -2 + 7 = 5 \)

So, \( m = \frac{2}{5} \)

Answer:

\( \frac{2}{5} \)