Answer :

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[tex](12,6) \\ x_1=12 \\ y_1=6 \\ \\ (20,22) \\ x_2=20 \\ y_2=22 \\ \\ \hbox{the slope } = \frac{y_2-y_1}{x_2-x_1}=\frac{22-6}{20-12}=\frac{16}{8}=2[/tex]

The slope is 2.

 Answer:

The slope  between the two points (12,6) and (20,22) is 2.

Step-by-step explanation:

Given : Two points  (12,6) and (20,22)

We have to find the slope between the two points (12,6) and (20,22).

Given two points (12,6) and (20,22)

Slope between two points is given by

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here, [tex]\left(x_1,\:y_1\right)=\left(12,\:6\right),\:\left(x_2,\:y_2\right)=\left(20,\:22\right)[/tex]

Substitute, we have,

[tex]m=\frac{22-6}{20-12}[/tex]

Simplify, we have,

m = 2

Thus, The slope  between the two points (12,6) and (20,22) is 2.