a. 2x+y=3x-7 b. x+2y=3x+4 c. 3y+2=2y-5x d. 2(y-3)=2x-6 e. 5-3(x+1)=2y-3x+2 f. x-

Question

a. 2x+y=3x-7
b. x+2y=3x+4
c. 3y+2=2y-5x
d. 2(y-3)=2x-6
e. 5-3(x+1)=2y-3x+2
f. x-(y+2)=2(2X+1)

Explanation / Answer

i am going to assume that the growth factor is the slope of the line equation: (a) 2x +y = 3x -7 ==> first move all like variable (x) to one side of the equation, so it would be easier to work with. (*) [subtract 2x to both sides] y = x - 7 the growth factor (or the slope): 1 the y-int (the point when x = 0): -7 (b) x + 2y = 3x +4 (*) look at this note subtract x from both sides. then divide by 2 2 y = 2x +4 ==> y = x +2 the g.f (growth factor): 1 y-int: 2 (c) 3y+2=2y-5x subtract 2y from both sides y + 2 = -5x ==> y = -5x -2 the g.f: -5 y-int: -2 (d) 2(y-3)=2x-6 first off, divide by 2 y-3 = x-3 then add 3 to both sides y=x g.f = 1 y-int = 0 (e) 5-3(x+1)=2y-3x+2 ==> 5 - 3x - 3 = 2y - 3x +2 ==> - 3x +2 = 2y - 3x + 2 add 3x-2 to both sides 0 = 2y 0 = y (divide by 2) g.f = 0 y-int = 0 (f) x-(y+2)=2(2X+1) ==> x - y- 2 = 4x +2 add 2- x to both sides -y = 3x +4 divide by -1 y = -3x -4 g.f: -3 y-int: -4 there you go :D

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