Identify Slope and Y-Intercept from a Graph

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 do you find the y-intercept from a graph?

Back

To find the y-intercept from a graph, look for the point where the line intersects the y-axis.

Front

What is the slope of a line?

Back

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

Front

How do you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the vertical change (rise) and the horizontal change (run), and divide rise by run.

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.

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 identify the slope from the equation y = mx + b?

Back

In the equation y = mx + b, the coefficient m represents the slope of the line.

Front

What is the significance of the y-intercept in real-world applications?

Back

The y-intercept can represent the starting value in a real-world scenario, such as initial cost or starting population.

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 y remains constant regardless of x.