Linear Relationships - Math - 2nd hour

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

Front

What does the slope of a line represent in a linear relationship?

Back

The slope of a line represents the rate of change between the two variables. It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you find the unit rate from a given total?

Back

To find the unit rate, divide the total amount by the number of units. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is the formula for calculating the rate of change?

Back

The rate of change can be calculated using the formula: Rate of Change = (Change in y) / (Change in x).

Front

If y = 2x + 3, what is the slope?

Back

The slope is 2, which means for every 1 unit increase in x, y increases by 2 units.

Front

What does a unit rate of $6.50 per pizza mean?

Back

It means that for each pizza purchased, the cost is $6.50.

Front

How do you interpret the equation y = x + 5?

Back

This equation indicates that for every increase of 1 in x, y increases by 1, and when x is 0, y is 5.

Front

What is the unit rate if you earn $200 for 8 hours of work?

Back

The unit rate is $200 ÷ 8 = $25 per hour.

Front

What does it mean if the rate of change is 2 burgers per person?

Back

It means that for every person, 2 burgers are served.