Finding Slope and y-intercept

Front

What does the variable 'm' represent in the equation y = mx + b?

Back

The variable 'm' represents the slope of the line.

Front

What is the y-intercept in a linear equation?

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 slope from a graph?

Back

The slope can be identified by determining the rise over run between two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward trend.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward trend.

Front

How do you find the y-intercept from a table of values?

Back

The y-intercept can be found by identifying the value of y when x is 0.

Front

What is the general form of a linear equation?

Back

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

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) is the y-intercept, indicating where the line crosses the y-axis.

Front

What characteristics define a linear function?

Back

A linear function is defined by a constant rate of change, represented graphically as a straight line.

Front

How can you determine if a graph represents a linear function?

Back

A graph represents a linear function if it forms a straight line without any curves.