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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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Can someone pls help ASAP
Vera_Pavlovna [14]

Answer:

89.44

Step-by-step explanation:

using the Pythagorean Theorem: a^{2} +b^{2}=c^{2}

80^{2} +b^{2} =120^{2} \\6400+b^{2} =14400\\b^{2}  = 8000\\b = 40\sqrt{5}

120 is the hypotenuse so it would be c in the equation.

To solve, I simplified and isolated the variable. I got the square root of 8000 simplified (but idk how to write that out lol)

This answer is closest to 89.44

*Hope this helped! Have a great day/ night wherever you are! : )*

3 0
3 years ago
Solve.
LuckyWell [14K]
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3 0
3 years ago
A ball is dropped from a height of 64 feet. It's height, in feet, can be modeled by the function h(t)= -16t *power of 2* + 64, w
Assoli18 [71]
2 seconds because t=(64/16)^(1/2)
5 0
3 years ago
The dot plots show rainfall totals for several spring storms in highland areas and lowland areas. What is the median rainfall fo
tresset_1 [31]

Answer:

Median highland = 16 mm

Median lowland = 16 mm

Step-by-step explanation:

For the highland area :

The sample size, n = 44

Obtain the median value using :

1/2 * (n + 1)th term

1/2 * (44 +1) th term

1/2 * 45 = 22.5th term.

(22nd + 23rd) term / 2

(16 + 16) / 2 = 16 mm

For the lowland area :

1/2 * (n + 1)th term

1/2 * (44 +1) th term

1/2 * 45 = 22.5th term.

(22nd + 23rd) term / 2

(12 + 12) / 2 = 12 mm

5 0
3 years ago
Read 2 more answers
Can l please get help ​
maria [59]

Answer:

-10x^2 +9+8x^2-5x+7=-2x^2-5x+16

4 0
3 years ago
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