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Write an equation for the line parallel to the given line that contains C.

C(2,7); y = -4x + 1
y = ?

User Hiura
by
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1 Answer

7 votes

Answer:


y=-4x+15

Explanation:

step 1

Find the slope of the given line

we know that

If two lines are parallel, then their slopes are the same

The equation of the given line is


y=-4x+1

This is a equation of the line in slope intercept form


y=mx+b

where

m is the slope

b is the y-intercept

The slope m is equal to


m=-4

therefore

The slope of the line parallel to the given line is


m=-4

step 2

Find the equation in slope intercept form of the line parallel to the given line


y=mx+b

we have


m=-4


point\ C(2,7)

substitute the values and solve for b


7=-4(2)+b


7=-8+b


b=7+8=15

therefore

The linear equation is


y=-4x+15

User Wangzq
by
8.2k points

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