Slope with Tables Review

Front

What is the slope formula?

Back

The slope formula is (y2 - y1) / (x2 - x1), which calculates the steepness of a line.

Front

How do you determine the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and apply the slope formula.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What is a y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

How can you identify the y-intercept from a table?

Back

The y-intercept can be found by looking for the value of y when x is 0.

Front

What does a slope of 0 mean?

Back

A slope of 0 means the line is horizontal, indicating no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant and y changes.

Front

What is a proportional relationship?

Back

A proportional relationship is when two quantities maintain a constant ratio, represented by a straight line through the origin.

Front

How do you write the equation of a line in slope-intercept form?

Back

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

Front

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

Back

The y-intercept indicates the starting value of y when x is 0, providing context for the line's position.