Slope and Y-Intercept Review

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the value of the y-coordinate.

Front

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

Back

To find the y-intercept from a linear equation in the form y = mx + b, identify the value of b.

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and direction, calculated as the change in y over the change in x (rise/run).

Front

How do you determine if the slope is positive or negative?

Back

If the line rises from left to right, the slope is positive. If it falls from left to right, the slope is negative.

Front

What does a slope of 0 indicate?

Back

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

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant regardless of y.

Front

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

Back

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

Front

How can you convert standard form to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to isolate it on one side.

Front

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

Back

The slope can represent rates of change, such as speed or cost per item, in various real-world situations.

Front

If a line has a slope of -1/2, what does this mean?

Back

A slope of -1/2 means that for every 2 units you move to the right, the line moves down 1 unit.