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alina1380 [7]
3 years ago
7

Find the slope of every line that is parallel to the graph of the equation. Y=1/4=2

Mathematics
1 answer:
polet [3.4K]3 years ago
5 0

Answer:

m=1/2

Step-by-step explanation:

This equation is in slope intercept form. The slope-intercept form of a linear equation is:  

y

=

m

x

+

b

Where  

m

is the slope and  

b

is the y-intercept value.

y

=

1

2

x

+

2.3

Therefore, the slope of the line in the problem is:  

m

=

1

2

Two parallel line, by definition, will have the same slope

Therefore, the slope of any line parallel to the line in the problem is also:

m

=

1

2

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Step-by-step explanation:

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By substituting the values ,

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Subtract 3 × (equation 2) from equation 1:
{7 x+0 y = 7 | (equation 1)
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_____________________________________________________

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{y - 2 x = 10 | (equation 1)
{4 x - y = -14 | (equation 2)

Swap equation 1 with equation 2:
{4 x - y = -14 | (equation 1)
{-(2 x) + y = 10 | (equation 2)

Add 1/2 × (equation 1) to equation 2:
{4 x - y = -14 | (equation 1)
{0 x+y/2 = 3 | (equation 2)

Multiply equation 2 by 2:
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{0 x+y = 6 | (equation 2)

Add equation 2 to equation 1:
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Divide equation 1 by 4:
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Collect results:

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