Warm up #1 - 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 to the horizontal change between two points on the line.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, 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.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -5/4, what does this tell you about its direction?

Back

The line descends from left to right, indicating a negative slope.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope is undefined.

Front

If a line has a slope of 2, what can you say about its steepness?

Back

The line rises 2 units vertically for every 1 unit it moves horizontally, indicating a relatively steep incline.

Front

What is the slope of a line that does not change in height as it moves horizontally?

Back

The slope is 0, indicating a horizontal line.