Unit 4 Part 2 Study Guide

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees).

Front

How do you calculate the slope of a line given two points?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that rises 10 units for every 1 unit it runs?

Back

The slope is 10.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the range from a graph?

Back

Identify the lowest and highest y-values on the graph; the range is expressed as {y | lowest ≤ y ≤ highest}.

Front

What is the equation for a linear function with a base fare and a variable cost per mile?

Back

The equation is F = base fare + (cost per mile * miles).

Front

If a taxi charges $5 as a base fare and $2 per mile, what is the total fare for 3 miles?

Back

F = 5 + 2(3) = 11 dollars.

Front

What does the slope represent in a real-world context?

Back

The slope represents the rate of change, such as how much one quantity increases or decreases in relation to another.

Front

What is the difference between the domain and range of a function?

Back

The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).

Front

How can you tell if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.