Writing Proportional 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 quantity is constant.

Front

How do you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified from a table of values if the ratios of corresponding values are constant.

Front

What is the general form of a proportional equation?

Back

The general form of a proportional equation is y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent in a proportional equation?

Back

The constant of proportionality (k) represents the ratio of y to x in the equation y = kx.

Front

How can you determine if a set of points is proportional?

Back

You can determine if a set of points is proportional by checking if the ratio of y to x is the same for all points.

Front

What is the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship is equal to the constant of proportionality (k).

Front

How do you write the equation of a line given two points?

Back

To write the equation of a line given two points, calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1) and then use the point-slope form to find the equation.

Front

What is the difference between proportional and nonproportional relationships?

Back

Proportional relationships have a constant ratio between variables, while nonproportional relationships do not maintain a constant ratio.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

How can you tell if an equation is proportional by looking at its graph?

Back

An equation is proportional if its graph is a straight line that passes through the origin.