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Identify an equation in slope-intercept form for the line parallel to y = 5x + 2

that passes through (-6, -1).
O A. y=5x+29
O B. v-ex+
O C. y=-5x-11
D. y= 5x - 29
SUBMIT

User Tejas K
by
8.2k points

1 Answer

6 votes

Answer:

Option A.
y=5x+29

Explanation:

step 1

Find the slope of the line parallel to the given line

we have


y=5x+2

The slope of the given line is


m=5

Remember that

If two lines are parallel, then their slopes are equal

therefore

The slope of the line parallel to the given line is also
m=5

step 2

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


y=mx+b

we have


m=5


point\ (-6,-1)

substitute and solve for b


-1=5(-6)+b


-1=-30+b\\b=30-1\\b=29

substitute


y=5x+29

User GrayR
by
8.7k points

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