Math Lab

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Midpoint formula used for 1-6 (x1+x22 , y1+y22) (1,4); (5,6) ( 1+52 , 4+62) (3,5) (4, 6); (-2, -2) ( 4-22 , 6-22) (1, 2) (3, -4); (5, 4) ( 3+52 , -4+42) (4, 0) (5, 4); (3, -4) ( 5+32 , 4+ -42) (4, 0) A= (1, 2), M=(5, 8) 5=1+x2 1+x=10 x=9 8=2+y2 16=2+y y=14 B=(9, 14) A = (-2, -1), M= (0, 0) 0=-2+x2 -2+x=0 x=2 0=-1+y2 -1 + y=0 y=1 B=(2, 1) Distance Formula used for 7-10; d=x2-x12+y2-y12 (4, 6); (-2, -2) d=-2-42+-2-62 d=(-6)2+-82 d=100=10 (3, -4); (5, 4) d=5-32+4+42 d=22+82 d=4+64 d=+68 8.3 (-3, 2); (6, 0) d=6+32+0-22 d=92+-22 d=81+4 d=85 9.2 A (0, 0) B (5, y), d=3 3=5-02+0+y2 9=52+y2 -16=y2 ±4=y Slope Formula used for 11-19; m=y2-y1x2-x1 (4, 6) (-2, 2) m=-2-6-2-4 m=-8-6=43 (3, 4) (5, 4) m=4+45-3 m=82=4 (-3, 2) (6, 0) m=0-26+3 m=-29 (6, 0) (-3, 2) m=2-0-3-6 m=2-9 m=y2-y1x2-x1, (4,0) (0, y) -12 =y-00-4 -12=y-0-4 -24=y-04 -2 =y A 3, 0 B 0, 3 y=mx+b; m=y2-y1x2-x1 y=y2-y1x2-x1x+b y=3-00-3x+b y=-1x+b 3=-1x+b 3=b y=-x+3 (0, 0) (4, 4) y=4-04-0x+b y=1x+b 4=4+b b=0 y=x=0 (1, -3) (1, 5) y=5+31-1x+b y=(80)x+b y=0x+b x=1 (1, -2) (3, 4) y=4+23-1x+b y=62x+b y=3x+b 4=3x+b -5=b y=3x-5 0=3x-5 5=3x 5/3=x x-intercept (5/3, 0) y=(3)0-5 y=-5 y-intercept (0, -5) Triangle with points: (2,1) (8, 5) (8, 1) Area of Triangle with points (-1, 0) (1, 3) (-2, 5) A= bh/2 d=x2-x12+y2-y12 d between -1, 0 & 1, 3=1+12+3-02=9+4= 13 d
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