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FrozenT [24]
3 years ago
10

What is the equation of this graphed line?

Mathematics
2 answers:
Cloud [144]3 years ago
4 0
2x-y+2=0
slope=y-y/x-x
6-(-6)/2-(-4)=2
eq=Y-y/X-x
y-6/x-2=2
2x-4=y-6
2x-y+2=0
jek_recluse [69]3 years ago
3 0

y = 2x + 2

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 6) and (x₂, y₂ ) = (2, 6 ) ← 2 points on the line

m = \frac{6+6}{2+4} = \frac{12}{6} = 2

the line crosses the y-axis at (0, 2 ) ⇒ c = 2

y = 2x + 2 ← equation of line


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Answer the questions below about Line 1 and Line 2 shown below.
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  2. Line 1 says 3 + 4, which could be represented using dots as ••• + •••• for a total of 7 dots.
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<h3>What is the commutative law of addition?</h3>

The commutative law of addition is also referred to as the law of cumulative addition and it states that if two numbers are added together, then, the outcome is equal to the addition of their interchanged position because addition is considered as a binary operation.

This ultimately implies that, the sum of addends would always be the same (equal) regardless of their arrangement in accordance with the commutative law of addition. Mathematically, the commutative law of addition can be represented using the following formula:

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In this context, we can reasonably infer and logically deduce that the given expression was rewritten using the commutative law of addition.

In conclusion, Line 1 says 3 + 4, which could be represented using dots as ••• + •••• for a total of 7 dots. Line 2 says 4 + 3, which could be represented using dots as •••• + ••• for a total of 7 dots.

Read more on commutative law of addition here: brainly.com/question/778086

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A breathalyser test is used by police in an area to determine whether a driver has an excess of alcohol in their blood. The devi
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