Line S goes through the points (-3, 1) and (2,6). Line T goes through the points (0, 3) and (-2, 7). What is the point of intersection of line Sand line T.
+129899 Slope of S = ( 6 - 1) / ( 2 - -3) = 5 / 5 =1
Equation of S
y = (x - 2) + 6
y = x + 4
Slope of T = ( 7 - 3) /( -2 - 0) = 4 / -2 = -2
Equation of T
y = -2 x + 3
x intersection of S and T
x + 4 = -2x + 3
2x + x = 3 - 4
3x = -1
x = -1/3
y intersection of S and T
y = (-1/3) + 4 = -1/3 + 12/3 = 11/3
Intersection pt = (-1/3 ,11/3)
