Explain the difference between parallel and perpendicular lines in terms of their slopes. What form of equation of a line is easiest to determine slope?

Parallel lines have the same slope, while perpendicular lines have completely opposite slopes. So a line has a slope of 2, a parallel line would have a slope of 2, and a perpendicular line would have a slope of -1/2. The easiest form to identify the slope is standard form because it shows the slope within the equation with out having to solve the equation or convert it into another form.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: