Slope from graphs, tables and Ordered Pairs

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

How do you calculate the slope from two ordered pairs (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward trend.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-values change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change.

Front

How can you identify the type of slope from a graph?

Back

You can identify the type of slope by observing the direction of the line: upward for positive slope, downward for negative slope, horizontal for zero slope, and vertical for undefined slope.

Front

What is the formula for calculating slope from a graph?

Back

Slope (m) = (rise) / (run), where 'rise' is the vertical change and 'run' is the horizontal change.

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) where b is the y-coordinate.

Front

How do you find the y-intercept from a graph?

Back

To find the y-intercept, look for the point where the line intersects the y-axis.