+212 Find the value of \(C \)such that the three points \((5,5),(-3,1)\), and \((6,c) \) lie on the same line.
Note: Three points are on the same line if the slope of the line through any two points is always the same.
+36916 slope = (y1-y2)/(x1-x2)
Between the first and second points slope = ( 5-1)/(5- -3) = 1/2
Between 2nd and third point 1-c / -3-6 = 1/2
1-c / -9 = 1/2
c = 11/2
CHECK: Between 3rd and first, slope = 11/2 - 5 / 6-5 = 1/2 ?
