Question

The table represents a linear function. A two column table with six rows. The first row, x, has the entries negative 4, negative 2, negative 1, 1, 2. The second column, y, has the entries, negative 2, negative 10, negative 14, negative 22, negative 26. What is the slope of the function? –8 –4 2 5 Mark this and return

Answer 1

The slope of a line indicates how steep it is calculated mathematically as "rise overrun". It calculates the rate where the variable y changes when the relevant variable changes, and the further calculation can be defined as follows:

Given Points:

`(-4,-2) , (-2,-10)`

To find:

slope (m)=?

Solution:

`(-4,-2),(-2,-10)\\x_(1) =-4\\y_(1) =-2\\x_(2)= -2\\y_(2)=-10\\`

Using formula:

`slope(m)=(y_(2-) y_(1) )/(x_(2-) x_(1) ) \\=(-10-(-2))/(-2-(-4)) \\\\=(-10+2)/(-2+4)\\=(-8)/(2) \\=-4`

Therefore, the slope is "- 4".