Line BC has an equation of a line y = 2x + 3, and line EF has an equation of a line y = negative one over 2x + 4. These two equations represent
parallel lines because the slopes of the lines are equal

perpendicular lines because the slopes are opposite reciprocals

the same line when graphed

lines that intersect, but not at a right angle

Question

Line BC has an equation of a line y = 2x + 3, and line EF has an equation of a line y = negative one over 2x + 4. These two equations represent
 parallel lines because the slopes of the lines are equal

 perpendicular lines because the slopes are opposite reciprocals

 the same line when graphed

 lines that intersect, but not at a right angle

anonymous · Answer

@whpalmer4

whpalmer4 · Answer

Find the slopes by looking at the equations which are in slope-intercept form:
$$y = mx+b$$where $m$ is the slope and $b$ is the y-intercept value.

Parallel lines have equal slopes

Perpendicular lines have slopes which have a product of -1 (or they are vertical and horizontal lines, which these are not)

Lines which have equations that are equivalent (you can multiply one equation by some number and get the other equation) are the same line when graphed.

Anything else and the lines will intercept somewhere, but not at a right angle