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Allushta [10]
3 years ago
7

write the equation of the line (in slope-intercept form) that passes through the points (2,3 and (5,7)

Mathematics
1 answer:
AfilCa [17]3 years ago
8 0

Answer:

The answer to your question is    y = 4/3x + 1/3

Step-by-step explanation:

Data

Point A = (2, 3)

Point B = (5, 7)

Process

1.- Calculate the slope

x1 = 2    y1 = 3

x2 = 5    y2 = 7

m = (y2 - y1)/(x2 - x1)

- Substitution

  m = (7 - 3)/(5 - 2)

- Slope

  m = 4/3

2.- Find the equation of the line

     y - y1 = m(x - x1)

     y - 3 = 4/3(x - 2)

     y - 3 = 4/3x - 8/3

     y = 4/3x - 8/3 + 3

     y = 4/3x - 8/3 + 9/3

     y = 4/3x + 1/3

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Plz help me with this
Marrrta [24]

Answer:  c) 3

<u>Step-by-step explanation:</u>

Plug in y = -9 and the given x-value to see if it makes a true statement.

a) -4.5 falls in the piecewise function x < -3  --> y = -x

y = -x

-9 = -(-4.5)

-9 = 4.5    FALSE

b) -3 falls in the piecewise function -3 ≤ x ≤ -2  --> y = 2x

y = 2x

-9 = 2(-3)

-9 = -6    FALSE

c) 3 falls in the piecewise function x > -2 --> y = -x²

y = -x²

-9 = -(-3)²

-9 = -9   TRUE

d) 9 falls in the piecewise function x > -2 --> y = -x²

y = -x²

-9 = -(9)²

-9 = -81   FALSE

4 0
3 years ago
Let t = 4 and u = 6 + 2i. Find t – u
hjlf

Step-by-step explanation:

t = 4

u = 6 + 2

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Answer is -4

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2 years ago
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nika2105 [10]

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Step-by-step explanation:

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3 years ago
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What is the mean of the data set?<br> 108, 305, 252, 113, 191
irinina [24]

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3 years ago
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Answer:

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