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max2010maxim [7]
3 years ago
15

I need it right now please help me!

Mathematics
2 answers:
Allushta [10]3 years ago
7 0

Answer:

Question #8

Slope = 4

Y-intercept = -11

Equation = y = 4x - 11

Question #9

Slope = -2.43

Y-intercept = -1.72

Equation = y = -2.43x - 1.72

Question #10

Slope = 3.67

Y-intercept = -8.01

Equation = y = 3.67x - 8.01

Step-by-step explanation:

For all of these questions, we will be using the following formula to find the slope:

Slope = (y₂ - y₁) ÷ (x₂ - x₁)

To find the y-intercept, we will then input one of the given points into the equation.

Question #8

(4, 5) and (11, 33)

Slope = (y₂ - y₁) ÷ (x₂ - x₁)

Slope = (33 - 5) ÷ (11 - 4)

Slope = 28 ÷ 7

Slope = 4

y = mx + b

(33) = (4)(11) + b

33 = 44 + b

b = -11

y-intercept = -11

Y = 4x - 11

Question #9

(-4, 8) and (3, -9)

Slope = (y₂ - y₁) ÷ (x₂ - x₁)

Slope = (-9 - 8) ÷ (3 - (-4))

Slope = -17 ÷ 7

Slope = - 2.43

y = mx + b

(8) = (-2.43)(-4) + b

8 = 9.72 + b

b = -1.72

y-intercept = -1.72

Y = -2.43x - 1.72

Question #10

(0, -8) and (3, 3)

Slope = (y₂ - y₁) ÷ (x₂ - x₁)

Slope = (3 - (-8)) ÷ (3 - 0)

Slope = 11 ÷ 3

Slope = 3.67

y = mx + b

(3) = (3.67)(3) + b

3 = 11.01 + b

b = -8.01

y-intercept = -8.01

Y = 3.67x - 8.01

~Hope this helps!~

tankabanditka [31]3 years ago
6 0

I can't directly tell you the answer, but I can help you for how to do it.

So every single time you want to find the rate of change (slope) label 2 points with x1, y1, x2 and y2. We can use the point-slope form to sind the slope:

y1-y2/x1-x2

And we just need to plug in the point to get the Y intercept.

When the x is 0, the y value will be the y-intercept.

The slope intercept form is: y=Mx+B. M stands for slope and B stand for y-intercept. Just plug the slope and y-intercept in and get the answer.

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AXB= = {(x, y) ∈ A ✕ B| x ∈ A , y ∈  B}

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S={(x, y) ∈ x A ✕ B | S y ⇔ x − y is even}

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Step-by-step explanation:

Let A = {−4, 4, 7, 9} and B = {4, 7},

Then A X B= { (-4,4),(-4,7),(4,4),(4,7),(7,4),(7,7),(9,4),(9,7)}

AXB contains all elements of A and B such that x from A and y is from B.

AXB= = {(x, y) ∈ A ✕ B| x ∈ A , y ∈  B}

R= {(-4,4),(4,4),(7,7)}

R consists all ordered pairs where  |x| = |y|

R= {(x, y) ∈ A ✕ B| x R y ⇔ |x| = |y|}

S= { (-4,4),(4,4),(7,7)}

S={(x, y) ∈ x A ✕ B | S y ⇔ x − y is even}

S consists all ordered pairs where x-y is even.

R ∪ S, = { (-4,4),(4,4),(7,7)}

R US is a set containing subsets of both sets R and S

R ∪ S= {(x, y) ∈ A ✕ B | (x, y) ∈ R or (x, y) ∈ S}

R ∩ S=  {(-4,4),(4,4),(7,7)}

R ∩ Sis a set containing subsets only which are common between sets R and S

R ∩ S = {(x, y) ∈ A ✕ B | (x, y) ∈ R and (x, y) ∈ S}

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