
Find the equation for the line that passes through A's hypotenuse
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The answer is: " 1 " _________________________________________ " y = -2x + 1 " . _________________________________________ Explanation: _________________________________________ Look at the hypotenuse for "ΔA" and note the coordinates of where the hypotenuse crosses the "y-axis". The coordinates are: " (0, 1) " ; that is: " x = 0 ; y = 1 " . So, the problem /question is: " y = -2x + [?] " ; → Plug in " 1 " for "y" ; as follows: → " 1 = -2x + [?] " ; → We know that "x = 0"; → when "x = 0" ; → " -2x " = " (-2 * 0) = 0 ; So, 1 = 0 + [?] ; The answer is " 1 " ; since: " { 0 + 1 = 1 .} . Or, with a more detailed explanation: _______________________________________________________ → 1 = 0 + [?] ; Subtract "0" from EACH SIDE of the equation; → 1 − 0 = 0 + [?] − 0 ; to get: → 1 = [?] ; ______________________________________________________ The answer is: " 1 " . ______________________________________________________