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 = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

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 does a zero slope indicate?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in the x-value as the y-value changes.

Front

Write the equation of a line with a slope of 1 and a y-intercept of -3.

Back

The equation is: y = x - 3.

Front

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

Back

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

Front

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

Back

The slope is positive.

Front

Identify the type of slope for the line represented by the equation y = -3x + 4.

Back

The slope is negative.