Translate Tables to Equations

Front

What is the dependent variable in a table?

Back

The dependent variable is always the y (right side) in a table.

Front

Which equation represents a direct relationship between x and y?

Back

y = 3x

Front

What does the equation y = x + 4 represent?

Back

It represents a linear relationship where y increases by 1 for every increase of 1 in x, starting from 4.

Front

How do you identify the slope in the equation y = mx + b?

Back

The slope is represented by 'm' in the equation.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept, where the line crosses the y-axis.

Front

If y = 5x, what happens to y when x increases by 1?

Back

y increases by 5.

Front

What is the equation for a line that passes through the origin with a slope of 2?

Back

y = 2x

Front

How can you determine if an equation matches a table of values?

Back

By substituting the x values from the table into the equation and checking if the corresponding y values match.

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if an equation has a negative slope?

Back

It means that as x increases, y decreases.