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The x-intercept of a positively-sloped line is -5, and the area of the triangle formed by the line, the x-axis, and the y-axis is 15. What is the slope of the line?

 Jul 21, 2022
 #1
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The base of the  triangle =  5

 

To find the height

 

Area = (1/2) (5)  (height)

 

15  = (5/2)  (height)

 

15 (2/5)  = height

 

6  = height........this is the y interecept

 

Intercepts are  (-5,0) and (0 , 6)

 

Slope of line =  ( 6 - 0)  / ( 0 - -5)  =  6 / 5

 

 

cool cool cool

 Jul 21, 2022

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