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Gemiola [76]
3 years ago
10

Which equation is a point slope form equation for line AB?

Mathematics
2 answers:
MAVERICK [17]3 years ago
8 0

Answer:

the answer is c

Step-by-step explanation:


Dmitry [639]3 years ago
6 0

Answer:

c) y−6=−2(x+2)

Step-by-step explanation:

The general point slope form equation is:

y - y1 = m*(x - x1)

where x and y are the variables, (x1, y1) is the coordinate of a point on the line and m is the slope of the line.

To calculate the slope of the line we need two points on the line (x1, y1) and (x2, y2) and the following equation:

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

Coordinates of point A: (-2, 6)

Coordinates of point B: (2, -2)

Replacing into the equation:

m = (6 - (-2))/(-2 - 2)

m = 8/(-4)

m = -2

Replacing this value and coordinate of point A into the general point slope equation we get:

y - 6 = -2*(x - (-2))

y - 6 = -2*(x + 2)

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37. Two numbers are such that their
omeli [17]

Answer:

8 and 6

Step-by-step explanation:

Two numbers are such that their difference, their sum, and their product are to

each other as 1:7:24. Their product must equal what number?

:

Two numbers a & b

Let x = the multiplier

:

a - b = 1x

a + b = 7x

a * b = 24x

:

Add the 1st two equations

a - b = x

a + b = 7x

2a = 8x

a = 4x

or

x = .25a

:

a * b = 24x

Replace 24x; a = 4x therefore:

a * b = 6a

b = 6

;

Using the 1st equation

a - b = 1x

Replace b with 6 and x with .25a

a - 6 = .25a

a - .25a = 6

.75a = 6

a =

a = 8

:

Find the multiplier

a - b = x

8 - 6 = 2

:

Check this

a - b = 2 (1*2)

a + b = 14; (7*2)

a * b = 48: (24*2)

:

The numbers are 8 and 6; their products = 48

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