If the three vertices A, B, and C in the three adjacent squares shown are collinear, find the value of *x*.

If A, B, and C are collinear, then the slope of BC = slope of AB,

i.e., 3/4 =

*y*/7 →*y*= 21/4 = 5¼*x*= 7 +

*y*= 7 + 5¼ = 12¼.

The Ohio State University: College of Education and Human Ecology

If the three vertices A, B, and C in the three adjacent squares shown are collinear, find the value of *x*.

If A, B, and C are collinear, then the slope of BC = slope of AB,

i.e., 3/4 = *y*/7 → *y* = 21/4 = 5¼

12.5