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Amiraneli [1.4K]
3 years ago
6

What is the y-intercept of y = -4/3x + 4?

Mathematics
1 answer:
Reika [66]3 years ago
7 0
Hello : 
<span>the y-intercept of y = -4/3x + 4 when x=0 : y= (-4/3)(0)+4=4
Answer : </span><span>A) (0, 4)</span>
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Answer:

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Step-by-step explanation:

The distance formula states that the distance between two points (a,b) and (c,d) is \sqrt{(a-c)^2+(b-d)^2}.

The two points we have are (4,6) and (-4,-3). Plugging these numbers into the distance formula, we have

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Simplifying with order of operations, first using the distributive property, gives

\sqrt{(4+4)^2+(6+3)^2.

Squaring and adding gives

\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},

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