Slope and Y-Intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does the 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept of the line.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

If a line has a slope of -1/5, what does this indicate about its direction?

Back

A slope of -1/5 indicates that the line is decreasing; for every 5 units moved to the right, the line moves down 1 unit.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

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

Back

Calculate the change in y divided by the change in x between two points in the table.

Front

If a line crosses the y-axis at (0, 8), what is the y-intercept?

Back

The y-intercept is 8.