What is the slope of the line parallel to the line 9y + 2x = 54?
Select one:

The slope is -2/9

Step-by-step explanation:

9y + 2x = 54

Solve for y to get the equation in the form

y = mx+b where m is the slope and b is the y intercept

Subtract 2x from each side

9y + 2x -2x = -2x+54

9y = -2x+54

Divide by 9

9y/9 = -2x/9 + 54/9

y = -2/9 x +6

The slope is -2/9

Parallel lines have the same slope

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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