The answer is: " 1 "
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" y = -2x + 1 " .
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Explanation:
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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:
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→ 1 = 0 + [?] ;
Subtract "0" from EACH SIDE of the equation;
→ 1 − 0 = 0 + [?] − 0 ;
to get:
→ 1 = [?] ;
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The answer is: " 1 " .
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