Question

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

m =

Answer 1

`\displaystyle m=(1)/(2)`

Or, 1/2.

Explanation:

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

`\displaystyle m=(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=((-8)-(-7))/((4)-(6))`

Simplify:

`\displaystyle m=(-8+7)/(4-6)`

Evaluate. Hence, our slope is:

`\displaystyle m=(-1)/(-2)=(1)/(2)`