Slope from a Graph

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 is slope calculated using two points (x1, y1) and (x2, y2)?

Back

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning it does not rise or fall as it moves from left to right.

Front

What is the slope of a line that rises 4 units for every 1 unit it runs to the right?

Back

The slope of the line is 4/1, which can be simplified to 4.

Front

What type of slope does a line with a negative slope have?

Back

A line with a negative slope decreases as it moves from left to right.

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.

Front

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

Back

You can determine the type of slope by observing the direction of the line: if it rises, it has a positive slope; if it falls, it has a negative slope; if it is flat, it has a zero slope; if it is vertical, it has an undefined slope.

Front

What is the relationship between slope and the angle of a line?

Back

The slope of a line is related to the angle it makes with the horizontal axis; a steeper angle corresponds to a larger absolute value of slope.