Finding Slope Between Two Points

Front

What is the definition of slope?

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.

Front

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

Back

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

Front

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

Back

Positive slope.

Front

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

Back

Negative slope.

Front

What kind of slope is represented by a horizontal line?

Back

Zero slope.

Front

What kind of slope is represented by a vertical line?

Back

Undefined slope.

Front

If the coordinates of two points are (2, 3) and (5, 7), what is the slope?

Back

Slope = (7 - 3) / (5 - 2) = 4 / 3.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal and there is no vertical change.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical and there is no horizontal change.

Front

If a line has a negative slope, what can you say about the relationship between the x and y values?

Back

As the x values increase, the y values decrease.