Slope Review

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. It is calculated as the ratio of the change in the y-coordinate to the change in the x-coordinate between two points on the line.

Front

What does a slope of zero indicate?

Back

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

Front

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

Back

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

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form of a line, y = mx + b.

Front

In the equation y = 3x + 2, what is the slope?

Back

The slope (m) is 3.

Front

In the equation y = -2x + 5, what is the y-intercept?

Back

The y-intercept (b) is 5.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, resulting in a line that slopes downward from left to right.

Front

What is the slope of the line represented by the equation y = 4?

Back

The slope is 0, indicating a horizontal line.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope is the coefficient of x, represented by 'm' in the equation.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).