Writing Equations in Slope intercept form

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 slope-intercept form y = mx + b.

Front

How do you find the slope of a line?

Back

The slope (m) of a line is calculated as the change in y divided by the change in x (rise/run) between two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is 0, leading to division by zero.

Front

How do you write an equation in slope-intercept form?

Back

An equation in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change, such as speed in a distance-time graph or cost per item in a price graph.

Front

How can you identify the y-intercept from a table of values?

Back

The y-intercept can be identified as the value of y when x is 0.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope means the line is vertical, indicating that x does not change regardless of the value of y.