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ICE Princess25 [194]
3 years ago
14

What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?

Mathematics
2 answers:
Delicious77 [7]3 years ago
7 0

Answer:a

Step-by-step explanation:

Valentin [98]3 years ago
4 0

Answer: a) y = - 3/2 x + 7/2

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = y intercept

m represents the slope of the line.

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

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3, - 1) and (- 1, 5),

y2 = 5

y1 = -1

x2 = - 1

x1 = 3

Slope,m = (5 - - 1)/(- 1 - 3) = 6/- 4 =

- 3/2

To determine the y intercept, we would substitute x = 3, y = - 1 and m= - 3/2 into y = mx + c. It becomes

- 1 = - 3/2 × 3 + c

- 1 = - 9/2 + c

c = - 1 + 9/2

c = 7/2

The equation becomes

y = - 3x/2 + 7/2

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Let A = {\bullet ,\square, \bigotimes} and B = {\square,\ominus, \bullet}.
lisov135 [29]

(a) With <em>A</em> = {•, □, ⊗} and <em>B</em> = {□, ⊖, •}, we have

<em>A</em> × <em>B</em> = {(•, □), (•, ⊖), (•, •), (□, □), (□, ⊖), (□, •), (⊗, □), (⊗, ⊖), (⊗, •)}

and

<em>B</em> × <em>A</em> = {(□, •), (□, □), (□, ⊗), (⊖, •), (⊖, □), (⊖, ⊗), (•, •), (•, □), (•, ⊗)}

(b) The intersection of the two sets above is

(<em>A</em> × <em>B</em>) ∩ (<em>B</em> × <em>A</em>) = {(•, •), (•, □), (□, •), (□, □)}

Not sure what µ is supposed to represent, but I suppose you meant to again write × as in the Cartesian product. By definition, for any two sets <em>A</em> and <em>B</em>, we have

<em>A</em> × <em>B</em> = {(<em>a</em>, <em>b</em>) | <em>a</em> ∈ <em>A</em> and <em>b</em> ∈ <em>B</em>}

Then

(<em>A</em> × <em>B</em>) ∩ (<em>B</em> × <em>A</em>) = {(<em>a</em>, <em>b</em>) | <em>a</em> ∈ <em>A</em> ∩ <em>B</em> and <em>b</em> ∈ <em>A</em> ∩ <em>B</em>}

In the product found above, notice that • and □ are both elements of <em>A</em> and <em>B</em>, while ⊗ and ⊖ are exclusive to either set.

5 0
3 years ago
The length of a garden is 61 feet and the width is 22 feet. What is the area?
Yuri [45]

Answer:

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Step-by-step explanation:

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I rlly need help like pleasee
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well hope it helps

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