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

Ryder Ferguson 2022-10-15 Answered
Write the equation for the line (-14, -5) and parallel to the line determined by 6x+7y=28
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Answers (1)

wespee0
Answered 2022-10-16 Author has 15 answers
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 = - 6 7 x + 4 in slope-intercept form
with slope = - 6 7
y = - 6 7 x + b is the partial equation
to find b substitute (−14,−5) into the partial equation
- 5 = 12 + b b = - 5 - 12 = - 17
y = - 6 7 x - 17 is equation of line
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