please help answer asap
5y = 6x + 6
y = (6/5)x + (6/5)
The point (x , (6/5)x + (6/5)) is closer to (4, 5).
d = √[(x - 4)^{2} + ((6/5)x + (6/5) - 5)^{2}
d = √[(x^{2} - 8x + 16) + ((6/5)x - (19/5))^{2}]
d = √[(x^{2} - 8x + 15) + (1.44x^{2} - 9.12x + 14.44)]
d = √(2.44x^{2} - 17.12x - 29.44)
Take the derivative of this and set it equal to zero.
4.88x - 17.12 = 0
Solving for x,
4.88x = 17.12
x = 214/68
This confirms that Christopher's work is correct. If the program you are using says it is wrong, then try using entering decimal numbers rather than the fractional answer.
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