Finding Slope and y-intercept From a Graph

Front

What is the formula for calculating the slope (m) of a line?

Back

The slope (m) is calculated using the formula: m = (rise) / (run).

Front

Define 'rise' in the context of a graph.

Back

'Rise' refers to the vertical change between two points on a graph.

Front

Define 'run' in the context of a graph.

Back

'Run' refers to the horizontal change between two points on a graph.

Front

How do you determine the y-intercept (b) from a graph?

Back

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

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.

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.

Front

How can you find the slope from a graph visually?

Back

To find the slope visually, select two points on the line, count the vertical change (rise) and the horizontal change (run), and then divide rise by run.

Front

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

Back

The slope represents the rate of change, which can be used to understand relationships between variables in real-world scenarios.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.