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2 years ago

How to find slope within two sets of points

Mathematics

1 answer:

EastWind [94]2 years ago

3 0

The slope within two sets of points is calculated using the slope equation $m = \frac{y_2 -y_1}{x_2 -x_1}$

<h3>What is slope?</h3>

The slope of a line or points is the rate of change of the line.

This in other words means that, the vertical change per unit horizontal change

Assume that the points are given as:

(x1, y1) and (x2, y2)

The slope (m) of the points is:

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

Hence, the equation of two sets of points is $m = \frac{y_2 -y_1}{x_2 -x_1}$

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Which of the following is the point and slope of the equation y - 3 = (x - 5)?

Ilia_Sergeevich [38]

<u>ANSWER: </u>

The slope of the given line y - 3 = (x - 5) is 1 and (5, 3) is a point on that line.

<u>SOLUTION: </u>

Given, line equation is y – 3 = (x – 5)

We have to find the slope of the given equation along with a point on that line.

Now, if we observe, the given equation is in point slope form $y-y_{1}=m\left(x-x_{1}\right)$

Where, m is the slope of the line and $\left(x_{1}, y_{1}\right)$ is a point on the line.

Now by comparison of the two equations we can conclude that,

$\mathrm{m}=1 , x_{1}=5 \text { and } y_{1}=3$

So, the point on the given line is (5, 3).

Hence, the slope of the given line is 1 and (5, 3) is a point on that line.

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