Question

parallel & perpendicular lines from graph
one line passes through points (4, -3) and (-8, 0). another line passes through points
(-1, -1) and (-2, 6).

1. select all that apply:

perpendicular lines...
intersect at four 90°
angles
go in opposite
directions
always intersect at
one point
have opposite(pos. &
neg.) reciprocal
(\\( \frac { n } { d } \
ightarrow \frac { d } { n } \\) )
(also known as
inverse) slopes

Explanation:

• Perpendicular lines intersect at right angles (\(90^{\circ}\)), so the statement "Intersect at four \(90^{\circ}\) angles" is correct as two lines intersecting perpendicularly form four \(90^{\circ}\) angles.
• The statement "Always intersect at one point" is correct because two non - parallel lines (and perpendicular lines are non - parallel) intersect at exactly one point.
• For the slopes of perpendicular lines, if the slope of one line is \(m_1=\frac{N}{D}\), the slope of the perpendicular line \(m_2 =-\frac{D}{N}\) (opposite reciprocal). So the statement "have opposite (pos. & neg.) reciprocal (\(\frac{N}{D}\to\frac{D}{N}\)) (also known as inverse) SLOPES" is correct.
• The statement "Go in Opposite Directions" is too vague. Parallel lines go in the same direction in a sense (constant distance apart), but perpendicular lines' direction relationship is better described by their slope relationship and the right - angle intersection rather than just "opposite directions".

Answer:

Intersect at four \(90^{\circ}\) angles, Always intersect at one point, have opposite (pos. & neg.) reciprocal (\(\frac{N}{D}\to\frac{D}{N}\)) (also known as inverse) SLOPES.