Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line.

Front

What is the formula to calculate slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).

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 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

In the slope-intercept form of a line, what does 'b' represent?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you find the y-intercept from the equation y = 3x + 9?

Back

The y-intercept is found by setting x = 0, which gives the point (0, 9).

Front

What variable is commonly used to represent slope in mathematics?

Back

The variable 'm' is commonly used to represent slope.

Front

If a line has a slope of m = 0, what type of line is it?

Back

A line with a slope of m = 0 is a horizontal line.