Slope of lines

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) from the table and use the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the y-intercept of a line?

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 identify the y-intercept from an equation?

Back

In the equation y = mx + b, the y-intercept is the value of b.

Front

What is the equation of a line with a slope of -2 and a y-intercept of 4?

Back

The equation is y = -2x + 4.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope occurs in vertical lines where the change in x is zero, meaning the line does not rise or fall.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero, indicating that there is no change in y as x changes.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the rise (change in y) and run (change in x), and calculate m = rise/run.