A) 5/3

B) 4/5

C) -3/5

A) 5/3

B) 4/5

C) -3/5

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Middletown, CT

Hi again Lindsey;

The formula is in standard form...

Ax+By=C, neither A nor B equal zero, and A is greater than zero.

5x - 3y = 4

Slope is -A/B...

-(5/-3)

Let's me illustrate my point.

Recall that slope-intercept formula is...

y=mx+b

m is the slope

b is the y-intercept, the value of y when x=0.

Let's convert this formula from standard form into slope-intercept form...

5x - 3y = 4

Let's subtract 5x from both sides...

-5x+5x-3y=4-5x

-3y=-5x+4

Let's divide both sides by -3...

y=(-5x+4)/-3

y=(5/3)x-(4/3)

Slope is 5/3.

The x and its coefficient A moved from the left side to the right, thereby changing it to negative. Then, it was divided by the coefficient of y, B...

slope=-A/B

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