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Alex_Xolod [135]
3 years ago
13

Through:(4,4),parallel to y=-6x +5

Mathematics
1 answer:
ad-work [718]3 years ago
6 0

For this case we have that by definition, the equation of a 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

In this case we have the following equation of the line:

y = -6x + 5

Where:

m = -6

By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will have an equation of the form:

y = -6x + b

Substitute the given point(x, y) :( 4,4)to find "b":

4 = -6 (4) + b\\4 = -24 + b\\4 + 24 = b\\b = 28

Finally, the equation of the requested line is:

y = -6x + 28

Answer:

y = -6x + 28

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