Positive Slope

Front

What is the definition of a positive slope in a linear equation?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend on a graph.

Front

How do you 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 does a slope of 0 mean in a linear equation?

Back

A slope of 0 means the line is horizontal, indicating that there is no change in the y-value as the x-value changes.

Front

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

Back

The slope of the line is 2.

Front

What is the significance of a slope greater than 1?

Back

A slope greater than 1 indicates that the line rises steeply, meaning the y-value increases more than the x-value.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x (denominator) is zero.

Front

What is the formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the term 'y-intercept' refer to?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How can you determine if a slope is positive from a graph?

Back

A slope is positive if the line rises from left to right on the graph.

Front

What is the relationship between slope and rate of change?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).