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 shows a constant rate of change.

Tags

CCSS.HSF-LE.A.1B

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities. It is found by dividing one quantity by the other.

Tags

CCSS.7.RP.A.2B

Front

If 14 gallons of gas cost $48.86, what is the cost per gallon?

Back

$3.49

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the slope of a linear equation?

Back

The slope (m) of a linear equation in the form y = mx + b is the coefficient of x, representing the rate of change of y with respect to x.

Tags

CCSS.8.EE.B.5

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, representing the value of y when x is 0.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship where two quantities maintain a constant ratio or rate.

Tags

CCSS.7.RP.A.2A

Front

How can you determine if a relationship is linear from a table of values?

Back

A relationship is linear if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Tags

CCSS.8.EE.B.5