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Coordinate Algebra

by Keleigh
(Cusseta, GA)











































Determine the slope of the line graphed by 5y + 6x - 2 = 0.

Type a numerical answer in the space provided.

If necessary, use the / key to represent a fraction bar and leave your answer in terms of an improper fraction.

Comments for Coordinate Algebra

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Aug 01, 2013
Slope
by: Staff


Answer

Part I

5y + 6x - 2 = 0

An easy way to determine the slope is to rewrite the equation in the slope intercept format.

the general form of the slope intercept format is:

y = mx + b

m = slope

b = y-intercept

Slope intercept form of a linear equation





to reformat this equation to the slope-intercept format, simply solve for y

5y + 6x - 2 = 0

add 2 to each side of the equation

5y + 6x - 2 + 2 = 0 + 2

5y + 6x + 0 = 0 + 2

5y + 6x = 2


Add 2 to each side of the equation




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Aug 01, 2013
Slope
by: Staff


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Part II


subtract 6x from each side of the equation

5y + 6x - 6x = - 6x + 2

5y + 0 = - 6x + 2

5y = - 6x + 2


Subtract 6x from each side of the equation





divide each side of the equation by 5

5y / 5 = (- 6x + 2) / 5

y = (- 6x + 2) / 5

y = (- 6/5)x + 2/5

Divide each side of the equation by 5







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Aug 01, 2013
Slope
by: Staff


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Part III


when this equation is graphed, it looks like this:


graph of y  =  (- 6/5)x + 2/5





reading directly from the equation:


the slope of the equation is:

m = - 6/5


the y-intercept of the equation is:

b = 2/5


 final answer:  slope of  (- 6/5) and y-intercept of 2/5








Thanks for writing.

Staff
www.solving-math-problems.com



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