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

What is the formula for calculating slope?

Back

The formula for calculating 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 about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating that there is no vertical change as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines, where the x-value remains constant while the y-value changes, resulting in division by zero in the slope formula.

Front

How do you find the y-intercept of a line?

Back

The y-intercept of a line is found by determining the point where the line crosses the y-axis, which occurs when x = 0.

Front

What is the y-intercept of the line represented by the equation y = 2x + 4?

Back

The y-intercept is (0, 4).

Front

What is the y-intercept of the line represented by the equation y = -3x + 2?

Back

The y-intercept is (0, 2).

Front

If a line has a slope of 0, what can be said about its equation?

Back

The equation of a line with a slope of 0 is of the form y = b, where b is a constant.