Question

Find the slope of the line through (6, –7) and (4, –8). Use forward slash (/) for a fraction and keep in improper form.

Answer 1

Answer:

$\displaystyle m=\frac{1}{2}$

Or, 1/2.

Step-by-step explanation:

To find the slope of a line that crosses any two given points, we can use the slope formula:

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

Where (x₁, y₁) is our first point, and (x₂, y₂) is our second point.

We will let (6, -7) be our first point (x₁, y₁), and (4, -8) be our second point (x₂, y₂).

Substitute them into the formula. Hence:

$\displaystyle m=\frac{(-8)-(-7)}{(4)-(6)}$

Simplify:

$\displaystyle m=\frac{-8+7}{4-6}$

Evaluate. Hence, our slope is:

$\displaystyle m=\frac{-1}{-2}=\frac{1}{2}$