Question

Find the distance between the parallel lines whose equations are below. y = 1/3x + 1 y = 1/3x − 2 Step 1: Find the equation of the line that is perpendicular to both parallel lines. Use the opposite reciprocal slope and one of the y-intercepts to write your line. Step 2: Now, use the equation from Step 1 and the parallel line whose y-intercept you did not use, to set up a system of equations and determine the other endpoint. Write your answer as an ordered pair. Enter your answers as decimals, rounded to the nearest tenth. Step 3: Now, find the distance between the two endpoints (the y-intercept you used in Step 1, and the point you found in Step 2). Use the distance formula and enter your answer as a decimal, rounded to the nearest hundredth.

Answer 1

The lines are 3 units apart and the perpendicular line is y = -3x