Find the slope of the line that passes through (2,3) and (-2,1) Show the necessary steps.

Mathematics

1 answer:

notsponge [240]3 years ago

7 0

Answer:

$\frac{1}{2}$

Step-by-step explanation:

Use the Slope Formula:

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

Using the points (2,3) and (-2,1).

$m=\frac{1-3}{-2-2}=\frac{-2}{-4}=\frac{1}{2}$

The slope of the line is $\frac{1}{2}$ .

<em>Brainilest Appreciated. </em>

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A. The number of possible ways can this be done, if the order of the choices is not taken into consideration is 1, 287 ways

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<h3>What is meant by permutation and combination?</h3>

Combination and permutation are two alternative strategies in mathematics to divide up a collection of components into subsets. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.

A. We want to select 5 objects from a total 13, without considering the order in which they are chosen.

The correct way to do this exists by utilizing the combination formula since order exists not considered;

Therefore, we have ; 13 C 5 read as 13 combination 5;

Let the equation of combination be n C r = n!/(n-r)!r!

substituting the values in the above equation, we get

13!/(13-8)!8! = 13!/5!8! = 1,287 ways

B. By considering order, we shall be using the permutation formula;

Let the equation of permutation be n P r = n!/(n-r)!

substituting the values in the above equation, we get

13 P 5 = 13!/(13-5)!

= 13!/(13-5)! = 13!/8! = 154,440 ways

To learn more about permutation and combination refer to: