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olganol [36]
4 years ago
5

Through: (2,2), parallel to y=x+4

Mathematics
1 answer:
lana66690 [7]4 years ago
4 0

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have to, if two lines are parallel then their slopes are equal.

Given the line y = x + 4, with slopem_ {1} = 1. A parallel line will have slope m_ {2} = 1and its equation will be of the form:

y = x + b

We substitute the given point and find "b":

2 = 2 + b\\2-2 = b\\b = 0

Finally, the equation is:

y = x

Answer:

y = x

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