Finding 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 (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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 the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

Find the slope of the line passing through the points (2, 3) and (5, 7).

Back

The slope is (7 - 3) / (5 - 2) = 4 / 3.

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 with the x-axis.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

How can you determine the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula m = (y2 - y1) / (x2 - x1).