Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What is the formula to calculate slope?

Back

The formula for slope (m) is: m = \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1}.

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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 (Zero Slope).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Calculate the slope between the points (1, 2) and (4, 5).

Back

The slope is \frac{5 - 2}{4 - 1} = \frac{3}{3} = 1.

Front

Calculate the slope between the points (2, 3) and (5, 7).

Back

The slope is \frac{7 - 3}{5 - 2} = \frac{4}{3}.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

The line falls from left to right.

Front

What does a slope of 1 indicate about a line?

Back

A slope of 1 indicates that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle.