Question

Find the find the slope of the line passing through the point(4,4) and (-2,8)

Answer 1

Answer:

The slope of the line = -2/3

Step-by-step explanation:

The slope (m) of the line passing through the points (x₁, y₁) and (x₂, y₂) is given as:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`

For the points (4,4) and (-2,8):

x₁ = 4, y₁ = 4, x₂ = -2, y₂ = 8

Substitute these values into the slope formula

`\begin{gathered} m\text{ = }(8-4)/(-2-4) \\ m\text{ = }(4)/(-6) \\ m\text{ = }(-2)/(3) \end{gathered}`

The slope of the line = -2/3