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m=(y2−y1)/(x2−x1)m = (y_2 - y_1) / (x_2 - x_1)m=(y2−y1)/(x2−x1) for points (x1,y1)(x_1, y_1)(x1,y1) and (x2,y2)(x_2, y_2)(x2,y2).
Midpoint = ((x1+x2)/2,(y1+y2)/2)((x_1 + x_2)/2, (y_1 + y_2)/2)((x1+x2)/2,(y1+y2)/2) for endpoints.
Length = (x2−x1)2+(y2−y1)2\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}(x2−x1)2+(y2−y1)2 between endpoints.
It represents the line with gradient −2-2−2 through (3,5)(3, 5)(3,5).
Use distance formula and Pythagoras' Theorem for ABABAB.
The distance ABABAB is 656\sqrt{5}65 between points AAA and BBB.
Expand and simplify to find xxx values of the equation.
x=9x = 9x=9 or x=−3x = -3x=−3 from (x−9)(x+3)=0(x - 9)(x + 3) = 0(x−9)(x+3)=0.
y=−7y = -7y=−7 for x=9x = 9x=9; y=17y = 17y=17 for x=−3x = -3x=−3.
Point BBB's new coordinates are (9,−7)(9, -7)(9,−7) after the transform.
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