19 Feb Parallel and Perpendicular Lines and Linear equations
Parallel and Perpendicular Lines 1. Given the equations 𝑦 =
−2
3 𝑥 + 4 and 3𝑥 − 2𝑦 = 12:
a. Find the slope of each line. Show your work.
b. Using the slopes of the lines, determine if they are parallel, perpendicular or neither? Explain how you
reached this conclusion.
2. Given the equations 𝑦 = −2
3 𝑥 + 4 and 2𝑥 − 6𝑦 = 3:
a. Find the slope of each line. Show your work.
b. Using the slopes of the lines, determine if they are parallel, perpendicular or neither? Explain how you
reached this conclusion.
3. Given the equations 𝑦 = −2
3 𝑥 + 4 and 2𝑥 + 3𝑦 = −15:
a. Find the slope of each line. Show your work.
b. Using the slopes of the lines, determine if they are parallel, perpendicular or neither? Explain how you
reached this conclusion.
Linear Equations 4. A car rental company uses the following linear equation to determine how much a car rental will cost a
customer. The equation is 𝑦 = 75 + .11𝑥 where x is the number of miles driven and y is the cost, in dollars.
Answer the following questions about the scenario:
a. What is the slope of this equation?
b. Interpret what the slope means in terms of cost to miles driven for this equation.
c. What is the y-intercept?
d. Interpret what the y-intercept means in terms of cost to miles driven for this equation.
e. Find the cost if the car is driven from Orlando to Key West and back to Orlando which is 786 miles in
total. Show your work.
