Answer:
It is slope of a line which is 4
Step-by-step 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:
[tex]y = mx+b[/tex]
Here m is the slope
The slope of a line is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
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
[tex]m = \frac{-12-(-16)}{-5-(-6)}\\m = \frac{-12+16}{-5+6}\\m = \frac{4}{1}\\m = 4[/tex]
Hence,
It is slope of a line which is 4
