Warm Up 12/12/2024 X and Y Intercepts Practice

Front

What is the definition of an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis, meaning the value of y is zero at that point.

Front

What is the definition of a y-intercept?

Back

The y-intercept is the point where a graph crosses the y-axis, meaning the value of x is zero at that point.

Front

How do you find the x-intercept of a linear equation?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What does a slope of zero indicate about a line?

Back

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.

Front

What is the formula for calculating the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

If a line has a slope of 5, what does this mean in terms of rise over run?

Back

A slope of 5 means that for every 1 unit you move to the right (run), the line rises 5 units (rise).