Understanding Linear Equations

What is the first step in converting a linear equation from slope-intercept form to standard form?

• Add a constant to both sides

• Multiply through by a common denominator

• Divide by the coefficient of y

• Subtract the x-term from both sides

When converting to standard form, why is it important to handle x and y as separate variables?

• Because they cannot be combined

• Because they represent different dimensions

• Because they are on opposite sides of the equation

• Because they have different coefficients

What is the standard form of the equation -5x + 2y = -4?

• 2y = 5x - 4

• -5x + 2y = -4

• 5x - 2y = 4

• y = 5/2x - 2

How do you verify that the conversion to standard form is correct?

• By checking if the coefficients are integers

• By converting back to slope-intercept form

• By ensuring the equation is balanced

• By comparing with a graph

What is the final step in verifying the conversion back to slope-intercept form?

• Subtracting the x-term

• Adding a constant

• Multiplying by a common denominator

• Dividing by the coefficient of y