Slope and Similar Triangles Practice (2-3-20)

Front

What is the definition of slope?

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 are the types of slope?

Back

There are four types of slope: Positive slope (rises from left to right), Negative slope (falls from left to right), Zero slope (horizontal line), and Undefined slope (vertical line).

Front

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

Back

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

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate?

Back

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

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

If the slope of a line is 3, what does this mean?

Back

A slope of 3 means that for every 1 unit increase in the x-direction, the y-value increases by 3 units.

Front

Identify the slope of the line represented by the equation y = 2x + 1.

Back

The slope of the line is 2.

Front

What is the slope of the hypotenuse of a right triangle with legs of length 1 and 3?

Back

The slope is 3 (rise/run = 3/1).