Relating Equations & Tables

Front

What is the equation of a line in slope-intercept form?

Back

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 do you find the value of y when given an equation like y = x - 6?

Back

Substitute the value of x into the equation and solve for y.

Tags

CCSS.HSF.IF.A.2

Front

What does the equation y = x + 27 represent in terms of a linear relationship?

Back

It represents a line with a slope of 1 and a y-intercept of 27.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you determine the missing value in an equation like y + 51 = 99?

Back

Isolate y by subtracting 51 from both sides of the equation.

Tags

CCSS.6.EE.B.7

Front

What is the relationship represented by the equation b = 2a?

Back

It indicates that b is twice the value of a.

Tags

CCSS.6.EE.C.9

Front

What is the purpose of a table in relation to equations?

Back

A table can display values of x and y that satisfy a given equation.

Tags

CCSS.6.EE.B.7

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set.

Tags

CCSS.8.EE.C.7A

Front

How do you convert a word problem into an equation?

Back

Identify the quantities involved, determine the relationships, and express them mathematically.

Tags

CCSS.HSA.CED.A.1

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x.

Tags

CCSS.8.EE.B.5

Front

How can you verify if a point (x, y) lies on the line represented by an equation?

Back

Substitute the x value into the equation and check if the resulting y equals the given y.