SOLUTION: The x-intercept of a line is 8 more than the y-intercept of a line and the slope is -2/3. What is the equation for the line?

Algebra ->  Linear-equations -> SOLUTION: The x-intercept of a line is 8 more than the y-intercept of a line and the slope is -2/3. What is the equation for the line?      Log On


   

Question 1127876: The x-intercept of a line is 8 more than the y-intercept of a line and the slope is -2/3. What is the equation for the line?
Answer by josgarithmetic(39792) About Me  (Show Source):
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The x-intercept of a line is 8 more than the y-intercept of a line and the slope is -2/3. What is the equation for the line?
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Points ( b+8, 0 ) and ( 0, b ).

SLOPE, %28b-0%29%2F%280-%28b%2B8%29%29=-2%2F3

b%2F%28-b-8%29=-2%2F3

b%2F%28b%2B8%29=2%2F3

3b=2%28b%2B8%29

3b=2b%2B16

b=16

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highlight%28y=-%282%2F3%29x%2B16%29