Unit 4 Review Slope & Functions 2024

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness of a line, 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 calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the y-intercept of a linear equation?

Back

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

Front

What is the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

How can you determine if a relation is a function from a graph?

Back

A relation is a function if any vertical line drawn through the graph intersects it at most once.

Front

What is the relationship between similar triangles and their slopes?

Back

The slopes of corresponding sides of similar triangles are equal.

Front

What is the formula for finding the y-intercept from a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does it mean for two lines to be parallel in terms of slope?

Back

Two lines are parallel if they have the same slope.