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.

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.

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.

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.

Front

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

Back

It indicates that b is twice the value of a.

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.

Front

What does it mean for two equations to be equivalent?

Back

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

Front

How do you convert a word problem into an equation?

Back

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

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.

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.