Slope and Y-Intercept

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented by 'm' in the equation y = mx + b.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation y = mx + b.

Front

How can you identify a non-proportional relationship in an equation?

Back

A non-proportional relationship has a y-intercept (b) that is not zero, indicating that the line does not pass through the origin.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope (m) is 2.

Front

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

Back

The slope (m) is -3.

Front

In the equation y = mx + b, what does 'm' represent?

Back

In the equation, 'm' represents the slope of the line.

Front

What is the formula to 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

What is the significance of a slope of 0 in a linear equation?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a positive slope indicate about the relationship between x and y?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases.