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Karolina [17]
3 years ago
13

Which graph represents the line 10x + 5y = 20?

Mathematics
2 answers:
steposvetlana [31]3 years ago
7 0
<span>10+5y=20
*Add 10x to each side 
</span><span>5y=20-10x
*Divide each side by 5 
</span>y=4-2x
y=-2x+4
*The -2 represents the slope, so for every 2 units it goes down, it moves to the right one unit 
<span>*The 4 represents the y-intercept (or where it crosses the y-axis)</span>

vesna_86 [32]3 years ago
5 0

Answer:

Option 1.

Step-by-step explanation:

The given equation of the line is 10x + 5y = 20

Now we will convert this equation into y-intercept form

10x + 5y = 20

5y = 20 - 10x

y = \frac{1}{5} (20 _ 10x)

= -2x + 4

y-intercept of the line is 4 which gives us hint that graph (1) or (2) may be the correct option.

Since slope is (-2)

So from graph (1) slope of the line passing through (0,4) and (-2,0)  = \frac{4.0}{0+2} = 2

Therefore, graph A is not the answer.

For graph (2) slope of the graphed line passing through (0,4) and (2,0)  = \frac{4-0}{0-2} = (-2)

So graph (2) is representing the line y = -2x +4

Option 1. is the answer.

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Answer:

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Step-by-step explanation:

Formula for midpoint is (\frac{x_{1} + x_{2} }{2} ,\frac{y_{1} + y_{2}  }{2} )

So, let (x_{2} , y_{2} ) be the coordinates of the endpoint you are looking for.

x_{1} = -9  and y_{1}  = 7

(\frac{-9 + x_{2} }{2} , \frac{7 + y_{2} }{2} ) = (10, -3)

\frac{-9 + x_{2} }{2}  = 10           \frac{7 + y_{2} }{2}  = -3

-9 + x_{2} = 20         7 + y_{2}  = -6

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Given:

The given function is:

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To find:

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Solution:

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