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iris [78.8K]
2 years ago
8

Write an equation of the line that passes through a pair of points (5, -2) , (4,5)

Mathematics
1 answer:
sergeinik [125]2 years ago
3 0

Answer:

y = -7x + 33

Step-by-step explanation:

<u>Use the Point Slope Form:  (y - y1) = m(x - x1)</u>

<u />

<u>Step 1:  Find the Slope</u>

Slope = \frac{y2 - y1}{x2 - x1}

Slope = \frac{5 - (-2)}{4 - 5}

Slope = \frac{5 + 2}{-1}

Slope = \frac{7}{-1}

Slope = -7

<u>Step 2:  Plug into the point slope form</u>

(y - 5) = -7(x - 4)

y - 5 + 5 = -7x + 28 + 5

y = -7x + 33

Answer:  y = -7x + 33

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The ratio of tom’s age to Mary’s is 3:4.If Tom is 15 how old is Mary
AnnZ [28]
Hey there!

Tom's age to Mary's is 3:4; an equivalent ratio is 15:x (x symbolizes Mary's age).

To solve for this, we need to divide our proportions. By that, I mean divide Tom's older age by his younger age. If we do so, we should get a scale factor that we can multiply Mary's younger age by.

15 / 3 = 5

This means that the scale factor of the ages is 5.

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3 years ago
Distributive property -8(1+5m)
Stolb23 [73]

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3 years ago
If f(x) = 7x-6, which of the following is the inverse of f(x)?
Harman [31]

Answer:

f^{-1}(x) = \frac{x+6}{7}

Step-by-step explanation:

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x = \frac{y+6}{7}

Change y back into terms of x, hence

f^{-1}(x) = \frac{x+6}{7}

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