Proportional Relationships and Equations

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How do you identify a proportional relationship from a graph?

Back

A proportional relationship is identified by a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates the two variables in a proportional relationship.

Front

Which equation represents a non-proportional relationship?

Back

y = 2x - 3 is a non-proportional relationship because it does not pass through the origin.

Front

If y = 4 + 5x, what is the cost for 3 games?

Back

The cost for 3 games is y = 4 + 5(3) = 19.

Front

What is the slope of the line represented by the equation y = 2x?

Back

The slope of the line is 2, indicating that for every 1 unit increase in x, y increases by 2 units.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a graph is not linear?

Back

If a graph is not linear, it means the relationship between the variables is not constant and does not form a straight line.