Question

Find the slope of the line that contains the points (4,-3) and (-4,1). is it undefined?

Answer 1

No.

The slope of the line is -1/2.

Explanation:

I'll give you a hint, to solve slope of the line use
`\displaystyle (y_2-y_1)/(x_2-x_1)`.

`\displaystyle (1-(-3))/((-4)-4)=(4)/(-8)=(4/4)/(-8/4)=(1)/(-2)=-(1)/(2)`

The slope of the line is -1/2, which is our answer.

I hope this helps!

Answer 2

`\huge{\boxed{-(1)/(2)}}`

We can find the slope with
`(y_2-y_1)/(x_2-x_1)`, where
`(x_1, y_1)` and
`(x_2, y_2)` are both points.

Plug in the values.
`(1-(-3))/(-4-4)`

Simplify.
`(1+3)/(-4-4)`

Add/subtract.
`(4)/(-8)`

Simplify.
`\boxed{-(1)/(2)}`