Step-by-step explanation:
the slope is always the factor of x.
it is expressed as ratio y/x indicating how many units y changes when x changes a certain amount of units.
parallel means they have the same slope (factor of x).
perpendicular (90 degrees) means x and y trade places upside-down, and the sign is flipped.
so,
10) neither. we have the slopes -2/1 and 1/1.
11) parallel. the slopes -1/2 and -1/2.
12) perpendicular. the slopes 5/1 and -1/5.
16) parallel. special case. all points that have x=4 and x=2. these are 2 vertical lines (parallel to the y-axis also known as x=0).
17) perpendicular. special cases. all points that have y=2 and all points that have x=5. this is one horizontal line and one vertical line, which makes them perpendicular.
Answer:
10) Neither
11) Parallel
12) Perpendicular
13) Parallel
14) Perpendicular
Step-by-step explanation:
10) The slopes are -2 and 1 respectively (since the co-efficient of x is the slope). Hence, they are neither perpendicular nor parallel.
11) The slopes are -1/2 and -1/2 respectively. Since both slopes are equal with different y-intercepts, they are parallel.
12) The slopes are 5 and -1/5 respectively. Since perpendicular slopes have a product of -1 and both of these have a product of -1, they are perpendicular. This can also be seen by plotting it on a graph.
13) x = 4 & x = 2 have a slope of infinite as they do not increase on the x-axis. Hence, they are parallel.
14) y = -2 and x = 5 intercept at a 90° angle (can be seen by plotting on a graph). Hence, they are perpendicular.
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