5 Slope and 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 equation of a line y = mx + b.

Front

What is the slope?

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 find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x), and use the formula: slope = rise/run.

Front

What is the formula for slope-intercept form?

Back

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

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 significance of the y-intercept in a real-world context?

Back

The y-intercept can represent the starting value of a situation in real-world problems, such as initial costs or starting quantities.

Front

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

Back

The y-intercept can be determined by locating the point where the line crosses the y-axis.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope of the line is 2.

Front

What is the y-intercept of the line represented by the equation y = -3x + 4?

Back

The y-intercept of the line is 4.