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Write an equation passing through the point and parallel to the given line. (4,7);y=3x+4

User Monso
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1 Answer

2 votes

Answer:


y=3x-5

Explanation:

step 1

Find the slope

we know that

If two lines are parallel, then their slopes are equal

The slope of the given line is
m=3

so

The slope of the line parallel to the given line is also
m=3

step 2

Find the equation of the line in point slope form


y-y1=m(x-x1)

we have


m=3


point\ (4,7)

substitute


y-7=3(x-4)

step 3

Convert to slope intercept form

isolate the variable y


y-7=3x-12\\y=3x-12+7\\y=3x-5

User Cpg
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