Flashcard: Slope-Intercept Form

Front

What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function. It is calculated as the rise over run, or the change in y divided by the change in x.

Front

How do you find the y-intercept of a linear function from its graph?

Back

The y-intercept is the point where the graph crosses the y-axis. It can be found by looking at the value of y when x is 0.

Front

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

Back

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

Front

If a linear function has a slope of 1/4, what does this indicate about the graph?

Back

A slope of 1/4 indicates that for every 4 units you move to the right on the x-axis, the graph rises 1 unit on the y-axis.

Front

What does a slope of 0.5 mean in terms of a linear function?

Back

A slope of 0.5 means that for every 2 units you move to the right on the x-axis, the graph rises 1 unit on the y-axis.

Front

How can you determine the equation of a linear function from a table of values?

Back

You can determine the equation by identifying the slope (change in y over change in x) and the y-intercept from the table.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept indicates the value of y when x is 0, representing the starting point of the function on the y-axis.

Front

How do you convert a slope from a fraction to a decimal?

Back

To convert a slope from a fraction to a decimal, divide the numerator by the denominator.

Front

What does it mean if a linear function has an undefined slope?

Back

An undefined slope indicates a vertical line, meaning that the x-value does not change regardless of the y-value.

Front

What is the relationship between the slope and the steepness of a line?

Back

The greater the absolute value of the slope, the steeper the line. A positive slope rises to the right, while a negative slope falls to the right.