In the following diagram triangle ABC is drawn, with A(-7,-4), B(8,2) and C(-6,8). (a) determine the slope of line AB in simplest form.

(b) draw the line that passes through C and is perpendicular to line AB. Write it's equation in point-slope form

(c) If point D lies at the intersection of line AB with the line you drew in (b), mark D and state its coordinates.

(d) what kinds of triangles are triangle CBD and CAD? Why)