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

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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grbavit
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.