Slope from Graphs no points

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 (rise) to the horizontal change (run) between two points on the line.

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

Back

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

Front

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

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the horizontal change is 0, leading to division by zero.

Front

If a line has a slope of 1/2, what does this mean in terms of rise and run?

Back

A slope of 1/2 means that for every 2 units of horizontal change (run), there is a 1 unit of vertical change (rise).

Front

How can you determine the slope from a graph without using points?

Back

You can determine the slope by identifying the rise over run visually, by measuring the vertical and horizontal distances between two points on the line.

Front

What is the slope of a line that rises 3 units for every 1 unit it runs?

Back

The slope of the line is 3/1 or simply 3.

Front

What is the significance of a slope of 0 in real-world applications?

Back

A slope of 0 indicates a constant value, meaning there is no change in the dependent variable regardless of changes in the independent variable.