Identifying equations

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the 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 does the variable 'b' represent in the equation y = mx + b?

Back

The variable 'b' represents the y-intercept of the line.

Front

What is a proportional relationship in terms of equations?

Back

A proportional relationship can be expressed as y = kx, where k is a constant.

Front

How can you identify a non-proportional relationship from an equation?

Back

A non-proportional relationship includes a constant term (b) in the equation, such as y = mx + b where b ≠ 0.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x.

Front

How do you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and is a straight line.

Front

What is the relationship between x and y in the equation y = kx?

Back

In the equation y = kx, y is directly proportional to x.

Front

What does it mean if an equation has a y-intercept?

Back

If an equation has a y-intercept, it means that when x = 0, y equals the value of the y-intercept (b).