Finding Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope-intercept form of a linear equation.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, meaning there is no change in the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the x-value does not change, leading to division by zero.

Front

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

Back

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

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

Find the slope of the line passing through the points (1, 2) and (4, 6).

Back

The slope is (6 - 2) / (4 - 1) = 4 / 3.

Front

If a line has a slope of -2, what does this tell you about the line?

Back

A slope of -2 indicates that for every 1 unit increase in x, the y-value decreases by 2 units.

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope is 3, which means the line rises 3 units for every 1 unit it moves to the right.