Write Equations from Graphs, Tables, Stories

Front

What is the rate of change (slope)?

Back

The rate of change (slope) is a measure of how much one quantity changes in relation to another. It is calculated as the change in the y-values divided by the change in the x-values.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship between the two variables.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship between the two variables.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then divide rise by run.

Front

What is the y-intercept in an equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as the value of y when x is 0.

Front

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

Back

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

Front

How do you write an equation from a table of values?

Back

To write an equation from a table of values, identify the slope using two points from the table and then use one of the points to find the y-intercept.

Front

What is the significance of the slope in real-world situations?

Back

The slope can represent rates of change in real-world situations, such as speed, cost per item, or growth rates.

Front

How can you determine the equation of a line from a word problem?

Back

To determine the equation from a word problem, identify the variables, the rate of change, and the initial value, then formulate the equation accordingly.

Front

What does it mean if the slope is zero?

Back

If the slope is zero, it means that the line is horizontal, indicating that there is no change in y as x changes.