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balu736 [363]
3 years ago
15

Find the equation of the line passing through the points 7,2 and 9,1

Mathematics
1 answer:
bija089 [108]3 years ago
5 0

9514 1404 393

Answer:

  y = -1/2x +11/2

Step-by-step explanation:

The slope of the line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -2)/(9 -7) = -1/2

The y-intercept is ...

  b = y -mx

  b = 2 -(-1/2)(7) = 11/2

Then the slope-intercept equation is ...

  y = -1/2x +11/2

_____

<em>Alternative solution</em>

A general form equation for the line can be ...

  (y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0

  (2 -1)(x -7) -(7 -9)(y -2) = 0

  x-7 +2y -4 = 0

  x +2y -11 = 0 . . . . . general form equation

  x +2y = 11 . . . . . . . standard form equation

Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.

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Andru [333]

Answer:

f^{-1}(x)=4x+20

Step-by-step explanation:

<u>Given</u>

<u />f(x)=\frac{x}{4}-5\\ \\y=\frac{x}{4}-5

<u>Swap x and y and solve for y</u>

<u />y=\frac{x}{4}-5\\ \\x=\frac{y}{4}-5\\ \\x+5=\frac{y}{4}\\ \\4(x+5)=y\\\\y=4x+20

<u>Final answer</u>

<u />f^{-1}(x)=4x+20

Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.

3 0
3 years ago
A tiger shark swims an average of 32 miles per hour. About how many hours will it take the tiger shark to swim 8 miles?
elena55 [62]

Answer:

0.25 hours, or 15 minutes

Step-by-step explanation:

Ok, so the rate is 32 miles per hour, so it would take about 1/4 of a hour to go 8 miles (8/32= 0.25)

6 0
3 years ago
A hardware store receives shipments containing 600 light bulbs each.**Part A sample of 75 light bulbs in a given shipment contai
ollegr [7]

Answer:

24/600

Step-by-step explanation:

it may be wrong

6 0
3 years ago
Yes or no ???????????
Vesnalui [34]

It is a right triangle.

4 0
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Read 2 more answers
Identify the domain and range of each relationship. Represent the relation with a mapping diagram. Is the relation a function?
Ivenika [448]
Remember, to be a function, all elements in the domain should correspond to one element in the range. 
The domain is the x coordinate, range is the y coordinate.
The domain we can solve for as the set {4.2, 5, 7}. The range is the set {0, 1.5, 2.2, 4.8}.
But we see that an element in the domain corresponds to more than one element in the range, thus making it not a function.
4 0
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