Slope

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 to the horizontal change between two points on the line.

Front

What is the formula to calculate slope?

Back

The formula to calculate slope (m) is: m = \frac{y_2 - y_1}{x_2 - x_1}, where (x_1, y_1) and (x_2, y_2) are two points on the line.

Front

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

Back

Positive slope.

Front

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

Back

Negative slope.

Front

What type of slope is represented by a horizontal line?

Back

Zero slope.

Front

What type of slope is represented by a vertical line?

Back

Undefined slope.

Front

Calculate the slope of the line passing through the points (2, 3) and (4, 7).

Back

The slope is \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2.

Front

Calculate the slope of the line passing through the points (1, 2) and (1, 5).

Back

The slope is undefined because the x-coordinates are the same.

Front

If a line has a slope of 0, what does this indicate about the line?

Back

It indicates that the line is horizontal.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

It indicates that the line falls as it moves from left to right.