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What is the slope of the line created by this equation?

Round your answer out to the two nearest decimal places

6x + 9y = 1

User Natalia Panferova
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2 Answers

22 votes
22 votes
-0.67 that is your answer
User Killthrush
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9 votes
9 votes

Answer:

-0.67

Explanation:

What is the slope of the line created by this equation? Round your answer out to the two nearest decimal places. 6x + 9y = 1

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Slope intercept form solves for y:

y = mx + b when m = slope and b = y-intercept

First, solve for y:

6x + 9y = 1

subtract 6x from both sides:

6x + 9y - 6x = 1 - 6x

9y = 1 - 6x

divide both sides by 9:

9y/9 = (1 - 6x)/9

y = 1/9 - 6/9x

reduce right side:

y = 1/9 - 2/3x

rearrange right side:

y = - 2/3x + 1/9

Back to the equation: y = mx + b when m = slope and b = y-intercept

your slope is -2/3

in decimal form, rounded to two digits: -0.67

User Aaron Daniels
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