Are these two lines parallel, perpendicular, the same line, or

Lewis Harvey 2021-08-18 Answered
Are these two lines parallel, perpendicular, the same line, or none of these? −3x=3y+6
4x+4y=2
O a) perpendicular
O b) the same line
O c) parallel
O d) none of these

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Expert Answer

grbavit
Answered 2021-08-19 Author has 16639 answers
Two lines are parallel if their slopes are the same (or equal). Two lines are perpendicular if their slopes are negative reciprocals.
Write each line in slope-intercept form y=mx+b by solving for y.
\(\displaystyle−{3}{x}−{3}{y}+{6}→{y}=−{x}−{2}\)
\(\displaystyle{4}{x}+{4}{y}={2}→{y}=−{x}+\frac{{1}}{{2}}\)
Since both lines have a slope of −1, then they are c) parallel.
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