Question

Select the equations that are parallel and perpendicular to y = -3x - 1 and that pass through the point (3, 1).

parallel: y = -3x + 6
perpendicular: y = 1/3x + 2 2/3
parallel: y = -3x + 10
perpendicular: y = 1/3x

parallel: y = negative 1/3x
perpendicular: y = -3x

parallel: y = 1/3x + 1
perpendicular: y = 3x - 1

Answer 1

well parallel means same slope
perpendicular means product of slopes=-1

Answer 2

two lines having slopes m1 and m2 are

parallel if m1=m2

perpendicular if m1 X m2 =-1

Answer 3

I still do not get it.

Answer 4

When two lines are parallel, they have the same slope.

Example:
\[y=-\frac{1}{2}x+4\text{ and }y=-\frac{1}{2}x-9\]
are parallel, because their slopes are both 1/2.

When two lines are perpendicular, their slopes are negative reciprocals of each other.

Example:
\[y=-\frac{1}{2}x+4\text{ and }y=2x-9\]
are perpendicular, since the negative reciprocal of -1/2 is -(-2/1) = 2.

Along with parallel/perpendicular, you have to choose a line that passes through (3,1).
First, find the slope of the given line.
Then, use the following point-slope formula:
\[y-y_0=m(x-x_0),\text{ where $(x_0,y_0)$ is the given point and $m$ is the slope.} \]

Answer 5

Which answer would it be?