Flashcard 1 - Finding Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is given by: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What type of slope is represented by a line that rises from left to right?

Back

A line that rises from left to right has a positive slope.

Front

What type of slope is represented by a line that falls from left to right?

Back

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

Front

What type of slope is represented by a horizontal line?

Back

A horizontal line has a slope of zero.

Front

What type of slope is represented by a vertical line?

Back

A vertical line has an undefined slope.

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in the x-direction, the line rises 2 units in the y-direction.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

Using the slope formula: m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What does a slope of -3 indicate about a line?

Back

A slope of -3 indicates that for every 1 unit increase in the x-direction, the line falls 3 units in the y-direction.

Front

How do you determine if a slope is positive, negative, zero, or undefined from a graph?

Back

A positive slope rises from left to right, a negative slope falls from left to right, a zero slope is horizontal, and an undefined slope is vertical.