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Savatey [412]
3 years ago
8

What is the slope of the line that passes through (5,-4) and (2,2)

Mathematics
2 answers:
maxonik [38]3 years ago
4 0
The slope of this line is -2
julia-pushkina [17]3 years ago
4 0
The answer is -2 because that is the slope that passes through (5,-4) and (2,2)
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ivann1987 [24]

Answer:

<h2>a = 400/21, b = 580/21</h2>

Step-by-step explanation:

Small triangles are similar. Therefore, the sides are proportional

\dfrac{a}{20}=\dfrac{20}{21}               <em>cross multiply</em>

21a=(20)(20)       <em>divide both sides by 21</em>

a=\dfrac{400}{21}

For b, we can use the Pythagorean theorem:

b^2=\left(\dfrac{400}{21}\right)^2+20^2\\\\b^2=\dfrac{160000}{441}+400\\\\b^2=\dfrac{160000}{441}+\dfrac{176400}{441}\\\\b^2=\dfrac{336400}{441}\to b=\sqrt{\dfrac{336400}{441}}\\\\b=\dfrac{\sqrt{336400}}{\sqrt{441}}\\\\b=\dfrac{580}{21}

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3 years ago
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3 years ago
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