Identifying Slope & Y-Intercept From A Graph

Front

What is the Y-INTERCEPT?

Back

The Y-intercept is the point where a line crosses the Y-axis. It is represented as (0, b) in the coordinate plane, where b is the value of the Y-intercept.

Front

How do you identify the Y-INTERCEPT from a graph?

Back

To identify the Y-intercept from a graph, look for the point where the line intersects the Y-axis. The Y-coordinate of this point is the Y-intercept.

Front

What is the SLOPE of a line?

Back

The slope of a line measures its steepness and direction. It is calculated as the change in Y divided by the change in X (rise over run).

Front

How do you calculate the SLOPE from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the X value increases, the Y value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the X value increases, the Y value decreases, meaning the line falls from left to right.

Front

What is the formula for the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation: y = mx + b, where m is the slope and b is the Y-intercept.

Front

How can you find the Y-intercept from the slope-intercept form?

Back

In the slope-intercept form y = mx + b, the Y-intercept is the value of b.

Front

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

Back

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

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that there is no change in Y as X changes.