Question

find the slope of the line that passes through \\((10, 10)\\) and \\((2, 15)\\).

simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Identify the given coordinates

We are given two points on a line:

$$(x_1, y_1) = (10, 10)$$

$$(x_2, y_2) = (2, 15)$$

State the slope formula

The slope \(m\) of a line is:

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

Substitute the coordinates

Substitute the values into the formula:

$$m = \frac{15 - 10}{2 - 10}$$

Simplify the expression

Calculate the numerator and denominator:

$$m = \frac{5}{-8} = -\frac{5}{8}$$

Answer:

Find the slope of the line that passes through \((10, 10)\) and \((2, 15)\).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

<blank>\(-\frac{5}{8}\)</blank>