# Write the equation for the line (-14, -5) and parallel to the line determined by 6x+7y=28

Write the equation for the line (-14, -5) and parallel to the line determined by 6x+7y=28
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wespee0
Parallel lines have equal slopes
the equation of a line in slope-intercept form is.
y=mx+b
where m is the slope and b the y-intercept
rearrange 6x+7y=28 into this form
subtract 6x from both sides
7y=−6x+28
divide all terms by 7
$y=-\frac{6}{7}x+4←\text{in slope-intercept form}$
$\text{with slope}\phantom{\rule{1ex}{0ex}}=-\frac{6}{7}$
$y=-\frac{6}{7}x+b←\text{is the partial equation}$
to find b substitute (−14,−5) into the partial equation
$-5=12+b⇒b=-5-12=-17$
$y=-\frac{6}{7}x-17←\text{is equation of line}$