Linear Relationships Retake

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, typically expressed in the form of an equation y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.HSF-LE.A.1B

Front

What does the slope of a linear equation represent?

Back

The slope of a linear equation 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.

Tags

CCSS.8.EE.B.5

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 determine if a table of values represents a linear relationship?

Back

A table of values represents a linear relationship 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 written as 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

How can you find the total cost of a project given a fixed fee and a variable cost per hour?

Back

The total cost can be calculated using the formula: Total Cost = Fixed Fee + (Variable Cost per Hour * Number of Hours).

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the significance of the equation y = 0.5x + 14?

Back

This equation represents a linear relationship where the slope is 0.5, indicating that for every 1 unit increase in x, y increases by 0.5 units, and the y-intercept is 14.

Tags

CCSS.8.EE.C.8C

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y by isolating it on one side of the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the term 'membership fee' imply in a linear cost model?

Back

A membership fee is a fixed cost that must be paid upfront, which does not change regardless of usage, while additional costs may vary based on usage.

Tags

CCSS.8.EE.B.5

Front

How do you interpret the graph of a linear equation?

Back

The graph of a linear equation shows the relationship between the two variables, with the slope indicating the direction and steepness of the line, and the y-intercept indicating where the line crosses the y-axis.

Tags

CCSS.HSF.LE.B.5