Q:

Directions – Determine if the two lines are parallel, perpendicular, or intersecting (neither). If necessary, convert each equation to slope-intercept form (y = mx + b). ​ L1: 4x+5y=15 L2: 4y=5x−12

Accepted Solution

A:
Answer:PerpendicularStep-by-step explanation:First note:Parallel lines have equal slopePerpendicular lines have slopes that are negative reciprocal to each otherLets check, first we need to convert them to slope intercept form (y = mx + b), where m would be the slope.L1:4x + 5y = 155y = -4x + 15y = -4/5x + 3L2:4y = 5x - 12y = 5/4x - 3Slope of L1 is -4/5 and Slope of L2 is 5/4Are they negative reciprocals of each other? Yes, because multiplying the slopes would give us "-1"[tex]-\frac{4}{5}*\frac{5}{4}=-1[/tex]So the lines are Perpendicular