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Orlov [11]
3 years ago
7

PLZ HELP ASAP: Indicate in standard form the equation of the line passing through the given point and having the given slope. D(

5, -2) m =2/5
Mathematics
1 answer:
ikadub [295]3 years ago
7 0
You can make use of the slope-intercept form of a line which is:
y = mx + b

Substitute m and the coordinates of a point in the line to find b,
-2 = (2/5) (5) + b
b = -4

The equation is
y = (2/5) x - 4

In standard form:
(2/5)x - y = 4
2x - 5y  = 4
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(a)

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(b)

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(c)

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(d)

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Step-by-step explanation:

(a)

5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

5^{-3}=\frac{1}{5^3}

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(b)

-5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

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-5^{-3}=-\frac{1}{125}........Answer

(c)

(-5^{-3})^{-1}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{-1}=(-5)^{-3\times -1}

(-5^{-3})^{-1}=(-5)^3

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(-5^{-3})^{-1}=-125........Answer

(d)

(-5^{-3})^{0}

we can use property of exponent

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we get

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we can use property

a^0=1

(-5^{-3})^{0}=1........Answer

4 0
3 years ago
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