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Alinara [238K]
3 years ago
6

What is an equation of the line that passes through the point (8,5) and (-6,5)

Mathematics
1 answer:
Law Incorporation [45]3 years ago
4 0

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have two points through which the line passes:

(x_ {1}, y_ {1}) :( 8,5)\\(x_ {2}, y_ {2}): (- 6,5)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-5} {- 6-8} = \frac {0} {- 14} = 0

The slope is zero.

Thus, the equation is of the form:

y = b

We substitute one of the points and find b:

(x, y) :( 8,5)\\5 = b\\b = 5

Finally, the equation is:

y = 5

Answer:

y = 5

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=====================================================

Explanation:

The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).

-----------------

As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation

y = (-5/3)x + 3

y = (-5/3)*3 + 3

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The first equation is confirmed. Let's check the second equation

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y = (1/3)*3 - 3

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Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.

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40 is 20% of x

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