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11111nata11111 [884]
2 years ago
11

What is the equation in point-slope form of the line passing through (-1,3) and (1, 7)?

Mathematics
1 answer:
amid [387]2 years ago
3 0

Answer:

<h3>y - 3 = 2(x+1)</h3>

Step-by-step explanation:

The equation of the line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line

Get the slope;

Given the points (-1,3) and (1, 7)

m = y2-y1/x2-x1

m = 7-3/1+1

m = 4/2

m = 2

Substitute the point m = 2 and the point (-1, 3) into the formula above as shown;

y - y0 = m(x-x0)

y - 3 = 2(x-(-1))

y - 3 = 2(x+1)

Hence the required equation is y - 3 = 2(x+1)

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Determine the nth term for each of the following sequences:16,15,14,13,12,..
Vladimir79 [104]
F(n) = 1st term - common difference (n - 1)

The operation is subtraction because the sequence is decreasing.

n = number of the term you are looking for
1st term = 1st number in the sequence, in this case, 16
common difference = difference between one number to the next

f(n) = 16 - 1(n-1)

Assuming we are looking for the 5th term.
f(5) = 16 - 1(5-1)
       = 16 - 1(4)
       = 16 - 4
       = 12     * as you can see, 12 is the 5th term of the sequence.

If you are looking for the equivalent of the nth term, simply substitute n by the number you are looking for and solve the equation.
7 0
3 years ago
What is the diameter of a circle with a circumference of 11.27π ​ft?
kiruha [24]

soln,

circumference of circle = 11.27π ft

so,

C = 2πr

or, 11.27π = 2πr

or, 11.27π/2π = r

so, r = 5.635 ft

now,

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= 2 x 5.635

= 11.27 ft

3 0
3 years ago
Which best describes the function represented by the data in the table?
DochEvi [55]
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Work out the area of a rectangle with base 18mm and perimeter 38mm
frez [133]

Answer:

684 mm squared

Step-by-step explanation:

Very simple. It's 18mm multiplied by 38 mm.

18 mm * 38 mm = 684 mm2

5 0
3 years ago
(-1,5) (3,13) what is the equation
REY [17]
(-1,5) = (x1,y1)
(3,13) = (x2,y2)
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4 0
3 years ago
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