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Alik [6]
4 years ago
11

On the coordinate plane, Kyle graphs a line that represents a proportional relationship between x and y

Mathematics
1 answer:
goldenfox [79]4 years ago
7 0

Option D) (0, 0)

<h2>Explanation:</h2>

The complete question is:

_______________________________________

On the coordinate plane, Kyle graphs a line that represents a proportional relationship between x and y. Which point MUST be on the line?

A) (0, 1)

B) (1, 0)

C) (1, 1)

D) (0, 0)

_______________________________________

A proportional relationship between x and y can be written in a mathematical language as follows:

y=kx

For any non-constan k-value. As you can see, this k-value represents the slope of a line. Remember that the Slope-intercept form of a line is given by:

y=mx+b \\ \\ m:Slope \\ \\ b:y-intercept

In the case of y=kx the y-intercept is zero, so the line passes through.

In conclusion, <em>Kyle's graph is a line that represents a proportional relationship between x and passes through point (0, 0)</em>

<h2>Learn more:</h2>

Direct variation: brainly.com/question/13881905

#LearnWithBrainly

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One endpoint of a line segment is (–6, 4), and the midpoint of the segment is (–2, 7). What are the coordinates of the other end
Arturiano [62]

Answer:

A. (2, 10)

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on a coordinates plane then

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__________________________________________________

Given

one endpoint is (–6, 4) and midpoint is (–2, 7)

let coordinates of other endpoint be (x,y)

now if one endpoint is (–6, 4) and other endpoint is (x,y)

then coordinates of midpoint is ((-6+x)/2 , (4+y)/2)

while the coordinates of midpoint given  is  (–2, 7)

thus (–2, 7) should be equal to ((-6+x)/2 , (4+y)/2)

-2 = (-6+x)/2             and   7 = (4+y)/2

=> -2*2 = -6+x                 => 7*2 = 4+y

=> -4 = -6+x                    => 14 = 4+y

=> -4+6 = x                     => 14-4 = y

=> x = 2                           => 10 = y

Thus, coordinates of the other endpoint is(2,10)

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A student makes money by watching the neighbors' dog. The situation is modeled in the graph below. Money Made 130 120 110 100 90
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Answer:

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Step-by-step explanation:

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Elza [17]

Answer:

Distribute, then combine like terms, subtract 10 from both sides of the equation, simplify, divide both sides of the equation by the same term, and simplify to get your solution.

Step-by-step explanation:

1.) Distribute

6−2(4−5)=40

6−8+10=40

2.) Combine like terms

6a-8a+10=40

-2a+10=40

3.) Subtract 10 from both sides of the equation

-2a+10=40

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4.) Simplify

subtract the numbers

-2a+10-10=40-10

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subtract the numbers

-2a=40-10

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5.) Divide both sides of the equation by the same term

-2a=30

\frac{-2a}{-2} =\frac{30}{-2}

6.) Simplify

cancel terms that are in both the numerator or denominator

\frac{-2a}{-2} =\frac{30}{-2}

a=\frac{30}{-2}

Divide the numbers

a=\frac{30}{-2}

a=-15

a=-15

7.) Solution

a=-15

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3 years ago
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