Linear Relationships Prep

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be expressed in the form of an equation, typically y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities. In the equation y = kx, k represents the constant of proportionality.

Front

How do you find the slope of a linear equation?

Back

The slope (m) of a linear equation can be found by taking the change in y (rise) over the change in x (run) between two points on the line, calculated as m = (y2 - y1) / (x2 - x1).

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. It represents the value of y when x is 0 in the equation y = mx + b.

Front

If a linear equation is given as y = 2x + 3, what is the slope?

Back

The slope of the equation y = 2x + 3 is 2.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two variables that does not have a constant ratio. It can be represented by a linear equation that includes a y-intercept other than zero.

Front

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

Back

A relationship is proportional if the ratio of y to x is constant for all pairs of values in the table. If the ratio changes, the relationship is non-proportional.

Front

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

Back

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

Front

If a car travels at a constant speed of 60 miles per hour, how far will it travel in 2 hours?

Back

The car will travel 120 miles in 2 hours (Distance = Speed x Time = 60 miles/hour x 2 hours).

Front

What is the formula to calculate the distance traveled in a linear relationship?

Back

The formula to calculate distance in a linear relationship is Distance = Speed x Time.