Identify Slope and Y-Intercept from Graphs

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) in the equation y = mx + b.

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept can be identified by locating the point where the line intersects the y-axis.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How is slope calculated between two points (x1, y1) and (x2, y2)?

Back

Slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is a positive slope?

Back

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

Front

What is a negative slope?

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?

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?

Back

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

Front

If a line has a slope of -1, what does that mean?

Back

A slope of -1 means that for every unit increase in x, y decreases by one unit.

Front

How can you determine the type of slope from a graph?

Back

You can determine the type of slope by observing the direction of the line: upward (positive), downward (negative), flat (zero), or vertical (undefined).