Greater Rate of Change

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

How do you determine the greater y-intercept between two linear equations?

Back

Compare the values of b in the equations y = mx + b. The equation with the larger b has the greater y-intercept.

Front

What does a greater rate of change indicate in a linear function?

Back

A greater rate of change indicates that the function increases or decreases more steeply, represented by a larger slope (m) in the equation y = mx + b.

Front

How can you find the rate of change between two points on a graph?

Back

The rate of change (slope) can be calculated using the formula (y2 - y1) / (x2 - x1) between two points (x1, y1) and (x2, y2).

Front

What is the slope of a line?

Back

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

Front

If two lines have the same slope, what can be said about their rates of change?

Back

If two lines have the same slope, they have the same rate of change.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

If two lines are parallel, they have the same slope and therefore the same rate of change.

Front

What is the formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you visually identify the greater y-intercept on a graph?

Back

The greater y-intercept is the point that is higher on the y-axis when comparing two lines.

Front

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

Back

The y-intercept can represent the starting value in a real-world scenario, such as initial cost or starting population.