Parallel or Perpendicular lines PLEASE HELP!!!!?
Ok so my algebra teacher gave me this homework and I have no idea how to do it Please Help!
"Are the lines L1 and L2 passing through the given pairs of points parallel, perpendicular or neither parallel nor perpendicular?"
"L1: (1,2),(3,1) and L2: (0,-1),(2,0)"
"L1:(0,3),(3,1) and L2: (-1,4),(-7,-5)"
"L1:(2,-1),(5-7) and L2: (0,0),(-1,2)"
Please help me!!!!!! Thanks in advance!!!
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For each problem, you need to calculate the slope of each set of points/for each line (e.g. the two points associated with L1 are a set). Then compare the slopes.
If the slopes are the same, L1 and L2 are parallel to one another
If the slopes are negative reciprocals of one another(e.g. -2 and 1/2), L1 and L2 are perpendicular to one another
If the slopes are neither the same nor negative reciprocals of one another, L1 and L2 are neither perpendicular nor parallel to one another.
Equation to find slope:
(y2-y1)/(x2-x1)
where (x1,y1) and (x2,y2) are the coordinates of two points on the same line.
12x + 4y = sixteen 4y = sixteen - 12x y = -3x + 4 slope m1 = -3 (y = mx + c) 5y - 22 = -15x y = -3x + 22/5 slope m2 = -3 to that end, the two strains are parallel to a minimum of one yet another because of fact they have comparable slope