Question

Find the slope of the line that through the points (4,4) and (-1,2).

Answer 1

`\large\boxed{(2)/(5)}`

Explanation:

Hi!

To find the slope of the line that goes through two points, use this formula:

`\boxed{\bold{\displaystyle(y_2-y_1)/(x_2-x_1)}}`.

Where y₂ and y₁ are y-coordinates, and x₂ and x₁ are x-coordinates.

Remember, a point has the form
`\boldsymbol{(x,y)}`.

Okay, so now we just plug in the values & solve:

`\leadsto\boldsymbol{\displaystyle(2-4)/(-1-4)}`

Simplify:

`\leadsto\boldsymbol{\displaystyle(-2)/(-5) }`

Simplify:

`\leadsto\boldsymbol{\displaystyle(2)/(5)}`

Have a nice day! :)

- Creative Daydreamer