The equation of Line 1: 4x - 2y = 16

The equation of Line 2: y = -4/5x + 2
The equation of Line 3: y - 4 = 3 (x + 5)

is the statement true or false?

Line 3 has the greatest slope

False. The slopes of the lines are as follows:

Line 1: 4x - 2y = 16 (rewrite in slope-intercept form: y = 2x - 8). Slope = 2.
Line 2: y = -4/5x + 2. Slope = -4/5.
Line 3: y - 4 = 3 (x + 5) (rewrite in slope-intercept form: y = 3x + 19). Slope = 3.

Therefore, Line 3 has the greatest slope.