Complete the linear table

Front

What is a linear table?

Back

A linear table is a table that displays values of a linear function, showing the relationship between two variables, typically x and y.

Front

How do you find the value of Y in a linear equation when given X?

Back

To find the value of Y, substitute the value of X into the linear equation and solve for Y.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope (m) represents the rate of change of Y with respect to X, indicating how steep the line is.

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, representing where the line crosses the Y-axis.

Front

If Y = 2X + 1, what is Y when X = 1?

Back

Y = 2(1) + 1 = 3.

Front

If Y = -X + 4, what is Y when X = -2?

Back

Y = -(-2) + 4 = 6.

Front

What is the value of Y when X = -2 in the equation Y = 3X - 1?

Back

Y = 3(-2) - 1 = -7.

Front

How do you interpret a negative slope in a linear equation?

Back

A negative slope indicates that as X increases, Y decreases, showing an inverse relationship.

Front

What does it mean if a linear equation has no solution?

Back

It means that the lines represented by the equations are parallel and will never intersect.