Write an equation of the line that passes through ( -5, 0) and is parallel to the line y=4.5x-1 An equation of the parallel line is
step 1
Find the slope of the given line
we have
y=4.5x-1
the slope is m=4.5
step 2
Remember that'I two lines are paralell, then their slopes are equal
so
the slope of the parallel line is
m=4.5x
step 3
find the equation of the parallel line in slope intercept form
y=mx+b
we have
m=4.5
point (-5,0)
substitute
0=4.5(-5)+b
solve for b
b=22.5
therefore
the equation of the line is
