Finding Slope and y-intercept

Front

What is the definition of slope in a linear function?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).

Front

How do you identify the y-intercept from a linear equation?

Back

The y-intercept is the value of y when x is 0, often represented as (0, b) in the equation y = mx + b.

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward trend on the graph.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward trend on the graph.

Front

What is the general form of a linear equation?

Back

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

Front

How can you determine if a graph represents a linear function?

Back

A graph represents a linear function if it forms a straight line.

Front

What is the slope of the line represented by the equation y = 3x + 5?

Back

The slope is 3.

Front

What is the y-intercept of the line represented by the equation y = -2x + 4?

Back

The y-intercept is (0, 4).

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is 2.

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept can represent the starting value of a situation when x is zero.