Front

What is the formula for calculating the slope between two points?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on a line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, 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-values increase, the y-values decrease, 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, indicating that there is no change in the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in x is 0, leading to division by zero in the slope formula.

Front

How do you find the y-intercept from a linear equation in slope-intercept form?

Back

In the slope-intercept form of a linear equation, y = mx + b, the y-intercept is the value of b, which is the point where the line crosses the y-axis.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept represents the value of y when x is 0, indicating where the line intersects the y-axis.

Front

How can you determine the slope from a table of values?

Back

To determine the slope from a table of values, select two points (x1, y1) and (x2, y2) from the table and apply the slope formula: m = (y2 - y1) / (x2 - x1).

Front

What is the relationship between slope and rate of change?

Back

The slope of a line represents the rate of change of y with respect to x; a steeper slope indicates a greater rate of change.

Front

What does it mean if the slope is 1/4?

Back

A slope of 1/4 means that for every 4 units the x-value increases, the y-value increases by 1 unit, indicating a gentle upward incline.