x and y intercepts, types of slope

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, y).

Front

What is the x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, represented as (x, 0).

Front

How do you find the slope of a line?

Back

The slope (m) is calculated as the change in y divided by the change in x, or m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

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Back

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Back

Front

How do you determine the x-intercept from an equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How do you determine the y-intercept from an equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change, indicating how one variable changes in relation to another.