Question

What is the slope of the line shown below (3,9) (1,1)

Answer 1

m=4

Explanation:

Slope can be found using the following formula:

`m=(y_(2) -y_(1) )/(x_(2) -x_(1) )`

where
`(x_(1),y_(1))` and
`(x_(2),y_(2))` are points on the line.

We are given the points (3,9) and (1,1). Therefore,

`x_(1)=3\\y_(1)=9 \\x_(2)=1\\y_(2)=1`

Substitute each value into the formula.

`m=(1-9)/(1-3)`

Subtract in the numerator first.

`m=(-8)/(1-3)`

Subtract in the denominator.

`m=(-8)/(-2)`

Divide.

`m=4`

The slope of the line is 4.

Answer 2

slope m = 4

Explanation:

The formula of a slope:

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

We have the points

`(3;\ 9)\to x_1=3;\ y_1=9\\(1;\ 1)\to x_2=1;\ y_2=1`

Substitute:

`m=(1-9)/(1-3)=(-8)/(-2)=4`