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 if a graph represents a proportional relationship?

Back

If the graph passes through the origin (0,0) and is a straight line, it is proportional.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships pass through the origin and can be expressed as y = kx, while non-proportional relationships do not pass through the origin and are expressed as y = mx + b.

Front

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

Back

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

Front

What does the term 'slope' indicate in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves (rise over run).

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How do you convert a proportional equation to slope-intercept form?

Back

You can express y = kx in slope-intercept form by identifying m as k and b as 0.