Answer:
−y−1=3
Step-by-step explanation:
Which equation can be used to find the solution of (1/4)^y+1=64?
This can be solved by power of indices
(1/4)^(y+1)=64
(4^-1)^(y + 1)= 4^3
Note
(x^a)^b = x^ab
Hence:
4^(-1)(y + 1)= 4^3
4^-y - 1 = 4^3
Divide both sides by 4
−y−1=3
Hence, the equation that can be used to find the solution of (1/4)^y+1=64 is
−y−1=3
The slope of that line is -1, so m = -1.
The point you were told to use is (-2,2), so point-slope form starts as:
( y - 2 ) = -1 • ( x - (-2) )
But we'd clean up that x-(-2) to be x+2.
y - 2 = -1 ( x+2 )