Given triangle ABC with vertices A(−3, 0), B (0, 6), and C(4, 6). Find the equations of the three altitudes of the same triangle

Answer 1

Find slope of AC. Altitude from B to AC has slope which is negative reciprocal. Use point B to find equation of line with that slope.

Find slope of BC. Altitude from A to BC has slope which is negative reciprocal. Use point A to find equation of line with that slope.

Find slope of AB. Altitude from C to AB has slope which is negative reciprocal. Use point C to find equation of line with that slope.