2. assuming that the point 'P' is the center, (0,0) perpendicular lines have slopes that multiply to -1 y=mx+b m=slope given y=-3/4x -3/4 times what=-1 4/3 y=4/3x is the bike path equaiotn
3. paralell lines have same slope
for points (x1,y1) and (x2,y2) (y2-y1)/(x2-x1)=slope
l1 slope is for points (-4,1) and (2,5) slope is (5-1)/(2-(-4))=4/6=2/3
other one (3,0) and (-3,k) slope is 2/3 2/3=(k-0)/(-3-3) 2/3=k/(-6) times both sides by -6 -4=k
hmm find the equaitions (2,5) 5=2/3(2)+b 5=4/3+b 11/3=b y=2/3x+11/3 is l1
(3,0) 0=2/3(3)+b 0=2+b -2=b y=2/3x-2 is l2
k=-4 the slopes must be equal l₁ equation is y=2/3x+11/3 l₂ equation is y=2/3x-2