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satela [25.4K]
3 years ago
7

What is the equation of the line that passes through the point (-4, 2) and has a slope of -5/4?​

Mathematics
1 answer:
gulaghasi [49]3 years ago
6 0

Answer:

y = -5/4 x - 3   is the slope-intercept form

5x + 4y = -12    is the standard form

Step-by-step explanation:

Use the point-slope form:  y - y_{1} = m(x - x_{1})

(x_{1}, y_{1}) = (-4, 2)

y - 2 = -5/4(x + 4)       Multiply by 4 to remove the fraction

4y - 8 = -5(x + 4)

4y - 8 = -5x - 20

4y = -5x - 12

y = -5/4 x - 3   is the slope-intercept form

5x + 4y = -12    is the standard form

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31y+12y= combine like terms
Varvara68 [4.7K]

Answer:

43y

Step-by-step explanation:

31y+12y

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43y

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LuckyWell [14K]

Ray wants to buy an item worth 500$ in the most cost-effective way. Let's study each of the 3 cases and see with option is the best.

In the first option, he'll buy the item at list price with a coupon for $10 off. So he'll buy it at 500-10 =$490.

In the second option, he'll buy a membership for $35 and then get the item at a 15% discount. With a 15% discount, the price of the item will be 500 - (500*0.15) = 500 - 75 = $425. And with the membership price, he'll pay a total of 425 + 35 = $460.

The third option is to buy the item online at a 10% discount and pay $4 for the shipping. At 10% discount, the price of the item will be 500 - (500*0.1) = 500 - 50 = $450. And with cost of the shipping, he'll pay a total of 450+4 = $454.


So if he chooses the first option, he'll pay $490. With the second, he'll pay $460. And finally with the third, he'll pay $454.

So the third option is the most cost-effective, buying the item at $454.

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Answer:

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Step-by-step explanation:

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Adding -4 on both sides, we get:

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