Perpendicular, Parallel Slopes, and Rate of Change.

Question 1

How are two nonintersecting lines that lie in the same plane called?

Answer 1

Parallel.

Question 2

What do two parallel lines have in common?

Answer 2

The same slope.

Question 3

How can two lines be perpendicular?

Answer 3

If one line crosses the other at a 90° angle.

Question 4

How can two lines be tested for perpendicularity?

Answer 4

The product of their slopes must equal -1.

Question 5

How can two lines be tested for perpendicularity, without using multiplication?

Answer 5

The slope of L2 must be the negative reciprocal of the slope of L1.

Question 6

If a graph is not a straight line, how is the slope defined.

Answer 6

A nonlinear graph does not have a constant slope. The slope is calculated as the average rate of change, which is the slope of the line connecting any two points on the graph.

Question 7

How is the line used to express the average rate of change called?

Answer 7

A secant line.

Question 8

How do you determine the units that you used when describing slope as a rate of change?

Answer 8

(the units used to desribe y) per (the units used to describe x).

Examples:
60 kilometers per hour,
110 heart beats per minute,
10 milliliters of vinegar per 1 liter of water,
2000 dollars per month.