Proportional Relationship and slope

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 unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit. For example, 60 miles per 1 hour.

Front

How do you find the slope of a line?

Back

The slope of a line is found by taking the difference in the y-coordinates divided by the difference in the x-coordinates between two points on the line.

Front

What does a slope of 2 mean?

Back

A slope of 2 means that for every 1 unit increase in x, the value of y increases by 2 units.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

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

What does a non-proportional relationship look like?

Back

A non-proportional relationship does not have a constant ratio; for example, the equation y = 3x + 2 is non-proportional.

Front

How can you tell if a graph represents a proportional relationship?

Back

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

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.