Positive Slope on a Graph

Front

What is the definition of slope in a graph?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What does a positive slope indicate about a line on a graph?

Back

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

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

If a line has a slope of 5/2, what does this mean in terms of rise and run?

Back

For every 2 units the line moves horizontally (run), it moves up 5 units (rise).

Front

What is the slope of a line that rises 4 units for every 5 units it runs?

Back

The slope of the line is 4/5.

Front

What is the slope of a line that falls as it moves from left to right?

Back

A line that falls from left to right has a negative slope.

Front

If a line has a slope of 4, what is the rise when the run is 1?

Back

If the run is 1, the rise is also 4, since slope = rise/run.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the run is 0.

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 and run between them, and use the slope formula.