The points (5,2), (-10,-2), and (t,01) lie on the same line. Find the value of t. Please help me!

when y changes by 4, x changes by 15

from -2 to 1, y changes by 3, so x changes by 3/4 (15) = 11 1/4, so x=-10+11 1/4 = 5/4

(5/4,1) is on the line

or, algebraically,

(y+2) = 4/15 (x+10)