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Parallel to the line y=-3x + 5 passes through (-4,5)

User Gruzilkin
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Answer:

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

Explanation:

Given equation of line is:


y = -3x+5

General form of slope-intercept equation of line is:


y=mx+b

Comparing both we get

m = -3

The slope of two parallel line sis equal.

Let m1 be the slope of line parallel to given line, then

m1 = -3

Putting in general form


y = -3x+b

Putting (-4,5) in equation


5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7

Putting in the general form, we get


y = -3x-7

Hence,

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

User Srikanth Sharma
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