ACA Fall Final Review

Front

What is a graph?

Back

A visual representation of data that shows the relationship between different variables.

Front

What does the rate of change represent in a linear equation?

Back

The rate of change indicates how much the dependent variable (y) changes for a unit change in the independent variable (x).

Front

In the equation y = mx + b, what does 'm' represent?

Back

The slope of the line, which is the rate of change.

Front

What is the constant of proportionality?

Back

The constant ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a graph?

Back

The point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

If a graph shows a straight line, what type of relationship does it represent?

Back

A linear relationship between the variables.

Front

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

Back

Proportional relationships have a constant ratio (k), while non-proportional relationships do not.

Front

How can you determine if a relationship is proportional from a table of values?

Back

If the ratio of y to x is constant for all pairs of values, the relationship is proportional.