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iris [78.8K]
3 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]3 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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What term can you add to 5/6x -4 to make an equivalent to 1/2x-4
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Answer:

Denote adding term = a

a = (5/6x) - 4 - (1/2x) - 4

a = (5/6x) - (1/2x)

a = (5/6x) - (3/6x)

a = (2/6x)

a = (1/3x)

*******************************

a = (5/6)x - 4 - (1/2)x - 4

a = (5/6)x - (1/2)x

a = (5/6 - 1/2)x

a = (1/3)x

Hope this helps!

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3 years ago
What is 9/3 equal to?
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3 years ago
Read 2 more answers
) Which of the following is the correct equation of a vertical line that contains (5, 6)?
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Answer:

y =  {x}^{2}  - 11x + 30

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