7.4A & 7.7 Linear Relationships Day 2 K-Check

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 does the slope of a line represent in a linear equation?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x is 0, represented by the 'b' in the equation y = mx + b.

Front

How do you write an equation for a linear relationship?

Back

To write an equation for a linear relationship, identify the slope (m) and the y-intercept (b) from a graph or a set of points, and use the formula y = mx + b.

Front

If y = 5x + 3, what is the slope?

Back

The slope (m) is 5.

Front

If y = 5x + 3, what is the y-intercept?

Back

The y-intercept (b) is 3.

Front

What is the equation for the total cost of x lunches if each lunch costs $8 and delivery is $5?

Back

c = 8x + 5.

Front

How do you find the total cost of a vase with f flowers if the vase costs $3 and each flower costs $2.50?

Back

The total cost can be found using the equation c = 3 + 2.50f.

Front

What does the equation y = ⅓ x represent in terms of feet and yards?

Back

This equation represents the conversion from feet to yards, where 1 yard is equal to 3 feet.

Front

What is the relationship between x and y in the equation y = 3x - 3?

Back

This equation indicates that for every increase of 1 in x, y increases by 3, and when x is 1, y is -3.