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Question 441: find the slope and y-intercept of each line. graph the line.
-x+3y=6
Answer by AnlytcPhil(1806)   (Show Source):
You can put this solution on YOUR website! >>find the slope and y-intercept of each line. graph the line.
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-x+3y=6<<
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To find the slope of a line, solve it for y, which puts it in the form
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y = mx + b
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and then the coefficient of x, is the slope m,a nd the number b tells us
that the y-intercept is (0, b)
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-x + 3y = 6
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Add x to both sides
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3y = x + 6
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Multiply every term by 1/3
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1/3·3y = 1/3·x + 1/3·6
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y = 1/3·x + 2
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This is in the slope-intercept form
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y = mx + b
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The coefficient of x is 1/3, so the slope, m, is 1/3
The term b = 2 tells us that the y-intercept is (0,b) or (0,2)
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Graph:
'
Edwin
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