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Natali5045456 [20]
3 years ago
7

What is the slope of the line that contains the points (-2, 7) and (2, 3)?

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0
Slope = rise/run
rise = 7 - 3 = 4
run = -2 - 2 = -4
slope = 4/-4 = -1
Answer is B
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To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

First leg (24 yards) would be α 

Second leg would be β

Hypotenuse (74 yards) would be c

Now we have points α β c.  

a² (24) + β² ( x ) = c² (74) 

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c² = α² + β²

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<span> </span>
<span>4900 = </span>β² 

→√4900 
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<span>70 = 10x 
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</span>
The second leg = 7 yards
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