Question

need help to determine if it's a undefined slope or it is a slope of line and what's the answer please and thank you ​

Answer 1

It is slope of a line which is 4

Explanation:

We are given that the given points are generated by a linear function. A linear function is ta straight line that can be represented by:

`y = mx+b`

Here m is the slope

The slope of a line is given by the formula:

`m = (y_2-y_1)/(x_2-x_1)`

In order to find the slope from the table we take any two pairs of inputs and outputs i.e. x and y

So here we take

(x1,y1) = (-6,-16)

(x2,y2) = (-5,-12)

Putting the values in the formula

`m = (-12-(-16))/(-5-(-6))\\m = (-12+16)/(-5+6)\\m = (4)/(1)\\m = 4`

Hence,

It is slope of a line which is 4