Slope from a Graph

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented 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 graph?

Back

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

Front

What does a negative slope indicate about a graph?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

If a line goes down from left to right, what type of slope does it have?

Back

It has a negative slope.

Front

If a line goes up from left to right, what type of slope does it have?

Back

It has a positive slope.

Front

What is the slope of the line represented by the equation y = 4x + 2?

Back

The slope is 4.

Front

What is the slope of the line represented by the equation y = -3x + 1?

Back

The slope is -3.