Question

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

Answer 1

Answer:

m=4

Step-by-step explanation:

Slope can be found using the following formula:

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

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.

$m=\frac{1-9}{1-3}$

Subtract in the numerator first.

$m=\frac{-8}{1-3}$

Subtract in the denominator.

$m=\frac{-8}{-2}$

Divide.

$m=4$

The slope of the line is 4.

Answer 2

Answer:

slope m = 4

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points

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

Substitute:

$m=\dfrac{1-9}{1-3}=\dfrac{-8}{-2}=4$