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Point A is at (0,0) and point B is on the line y = 5. The slope of segment AB is 2/3. What is the sum of the x- and y-coordinates of point B?

 Nov 16, 2020
 #1
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Slope is   rise / run    =  2/3     

    rise 5    would be run  7.5    to equal   2/3

 

(7.5 , 5 ) 

 Nov 16, 2020
 #2
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Thx, guest....here's another way

 

If AB  passes through  (0,0)  and has a slope of 2/3, the equation of a line through AB  is

 

y= (2/3)x

 

Since  B is on  the line y =5, then  the y coordinate of B  = 5

 

To  find the  x coordinate we have

 

5 = (2/3) x    multiply both sides by 3/2

 

(3/2) 5  = x  =  7.5

 

B= (7.5 ,5)   and the sum of the coordinates  =  12.5

 

 

cool cool cool

 Nov 16, 2020

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