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Inga [223]
3 years ago
14

Which equation represents a line that passes through (-2,4) and has a slope of 2/5?

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
6 0

Answer:

\large\boxed{y=\dfrac{2}{5}x+\dfrac{24}{5}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

We have the slope m=\dfrac{2}{5} and the point (-2, 4).

Put them in the equation of a line:

4=\dfrac{2}{5}(-2)+b

4=-\dfrac{4}{5}+b       <em>add 4/5 to both sides</em>

4\dfrac{4}{5}=b\to b=\dfrac{24}{5}

Tatiana [17]3 years ago
5 0

Answer:

I think that the answer is C

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Lets operate is separate parts, the whole parts and the fractions:
9 1/6 - 3 5/8
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so now we have separated the operations, but now we need to get the fractions to the same denominator using the minimum common multiple of 6 and 8, which is 48 so we convert those fractions to be divided by 48:
1/6 = (8/8)(1/6) = (8*1)/(8*6) = 8/48
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Lets substitute those fractions and subtract:
= (9 - 3) + (1/6 - 5/8<span>)
</span>= (9 - 3) + (8/48 - 30/48<span>)
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We have a negative fraction and have to subtract it from the whole part, we can convert the whole part to be divided by 48 as well, so the subtraction is easy:
6 = (48/48)(6) = (48*6)/(48) = 288/48
susbstitute:
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</span><span>= (288/48) + (-22/48)
</span><span>= 288/48 - 22/48
</span>= 266/48
= 5 26/48
= 5 13/24
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