Unit 4 Review Slope & Functions 2024

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the ratio of the change in y-values to the change in x-values between two points on the line.

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept of a linear equation is the value of y when x is 0. It can be found by substituting x = 0 into the equation.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where 'm' is the slope and 'b' is the y-intercept.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

Front

What is the formula for calculating slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a line that slopes downward from left to right.

Front

What is the relationship between the slopes of similar triangles?

Back

The slopes of similar triangles are equal because they have the same ratio of change in y-values to change in x-values.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line, calculating the rise (change in y) and run (change in x), and using the formula m = rise/run.

Front

What does the term 'y-intercept' refer to?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation y = mx + b.