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Valentin [98]
2 years ago
10

Write the equation of the line that passes through the points (7, —4) and (—1 , 3) , first in point -slope form , and then slope

- intercept form
Mathematics
1 answer:
ipn [44]2 years ago
5 0

Answer:

The slope of the line is -7/8

The point slope-form is y+4=(-7/8)(x-7)

The slope-intercept form is y=(-7/8)x+(17/8)

Step-by-step explanation:

You have to find the slope first using m=y2-y1 divided by x2-x1. After you found the slope of the line, you use one of the points to plug it into the point-slope form which is y-y1=m(x-x1). After you have done that, you would have convert this equation into slope-intercept form which is y=mx + b. In order to convert it, you have to multiply m with x and x1. Then you would have to get rid of y1 by doing the opposite of what y1 is. Finally, you would take the opposite of y1 and add it to the other side of the equation.

Really hope this helps! :)

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Farmer McCoy can plant either corn or soybeans. The probabilities that the next harvest prices will go up, stay the same, or go
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Answer:

McCoy should plant soybeans

Step-by-step explanation:

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Let the two crops be corn and soybeans as indicated.

The profit margin for corn will be $ 30 000. However, the loss will be:

$ 35 000 - $ 30 000 = $ 5 000

For the soybean, the  profit margin will be $ 10 000.

The loss will be $ 5 000

The net balance will be given as: $ 5 000 - $ 10 000 = - $ 5 000. (This represents a gain)

Thus, soybean will be more profitable.

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Two positive integers have their Hcf as 12 and their product as 6336. The number of possible pairs for the numbers is
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Step-by-step explanation:

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Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction by which fraction will produce an eq
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The fraction which produce an equivalent fraction with a rational denominator is \left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

Explanation:

The equation is \frac{3}{\sqrt{17}-\sqrt{2}}

To find the rational denominator, let us take conjugate of the denominator and multiply the conjugate with both numerator and denominator.

Rewriting the equation, we have,

\frac{3}{\sqrt{17}-\sqrt{2}}\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

Multiplying, we get,

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\frac{3(\sqrt{17}+\sqrt{2})}{15}

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