In Exercise, three points A, B, and C are specified. Determine whether A, B, and C are col...

In Exercise, three points A, B, and C are specified. Determine whether A, B, and C are collinear (lie on the same line) by checking to see whether the slope of equals the slope of .

(a) A(0, −5); B(3, 4); C(−1, −8)

(b) If the area of the “triangle” formed by three points is zero, then the points must in fact be collinear. Use this observation, along with the formula in Exercise, to rework part (a).

Exercise

Calculate the area of the remaining triangle in Exercise by using the following formula for the area A of a triangle with vertices (x1, y1), (x2, y2),and (x3, y3):