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Sagot :
Write an equation parallel to the given line through the given point. parallel to
y = 4x - 6, through (6,-3)
step 1
Find the slope of the given line
y=4x-6 ------> equation of the line in slope intercept form
y=mx+b
we have
m=4
b=-6
therefore
the slope is 4
Remember that, if two lines are parallel, then their slopes are equal
that means
the slope of the parallel line is m=4
step 2
Find the equation of the parallel line in lsope intercept form
y=mx+b
we have
m=4
point (6,-3)
substitute in the equation above
-3=4(6)+b
solve for b
-3=24+b
b=-27
therefore
the equation of the line is
y=4x-27
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