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?
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
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