SLOPE: from two points, graphs, and tables

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 (vertical) divided by the change in x (horizontal). It is often represented as m in the slope-intercept form of a line, y = mx + b.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as 'b' in the slope-intercept form of a line, y = mx + b.

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, the value of y increases by 2 units.

Front

What is the slope of a line that goes down from left to right?

Back

The slope of a line that goes down from left to right is negative.

Front

Calculate the slope between the points (3, 7) and (7, 2).

Back

The slope is m = (2 - 7) / (7 - 3) = -5/4.

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 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 slope of -1/2 indicate?

Back

A slope of -1/2 indicates that for every 2 units you move to the right (increase in x), the line goes down 1 unit (decrease in y).