Writing Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept (b) represent in a linear equation?

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you write a linear equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express it in the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the equation for Sonya's lunch account after x days?

Back

y = -2x + 40

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the equation for the cost of downloading songs on eTunes?

Back

y = 0.95x + 7.95

Tags

CCSS.HSF.LE.B.5

Front

How do you find the break-even point in a cost comparison problem?

Back

Set the cost equations equal to each other and solve for x.

Tags

CCSS.8.EE.C.8C

Front

What is the equation for the cost of renting a canoe?

Back

y = 30x + 20

Tags

CCSS.HSF.LE.B.5

Front

What is the equation for a man descending from a height?

Back

y = -30x + 100

Front

What does it mean if the slope is negative in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5