CFA 4&5 Review

Front

What is the definition of slope in a graph?

Back

The slope of a line in a graph represents the rate of change of the y-value with respect to the x-value. It is calculated as the rise (change in y) over the run (change in x).

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that there is no change in the y-value as the x-value changes, meaning the line is horizontal.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope means that the line is vertical, indicating that there is no change in the x-value as the y-value changes.

Front

What is an ordered pair in a graph?

Back

An ordered pair is a pair of numbers used to represent a point on a graph, typically written as (x, y), where x is the horizontal coordinate and y is the vertical coordinate.

Front

How can you identify a linear relationship from a table of values?

Back

A linear relationship can be identified if the change in y-values is consistent for equal changes in x-values.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

How do you determine the y-value from a linear equation given an x-value?

Back

Substitute the x-value into the equation and solve for y.

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.