Exploring Linear Equations in Standard Form

The video tutorial explains how to convert linear equations into standard form, which is ax + by = c. It emphasizes that the coefficient 'a' should not be negative and there should be no fractions. The tutorial provides multiple examples, demonstrating how to rearrange equations, eliminate negative coefficients, and remove fractions to achieve the standard form. It also notes that in some assignments, negative 'a' values may be acceptable.

What is the standard form of a linear equation?

• ax + by = c

• y = mx + b

• ax^2 + bx + c = 0

• y = ax^2 + bx + c

In standard form, what must be true about the coefficient of x?

• It can be any real number

• It must be positive

• It must be negative

• It must be zero

What is the first step in converting y = -1/2x - 3 to standard form?

• Subtract 1/2x from both sides

• Multiply by -1

• Multiply by 2

• Add 1/2x to both sides

After moving the x term in y = -1/2x - 3, what is the next step?

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply by -1

• Multiply by 2

What is the standard form of y = 3/4x + 1 after converting?

• 4x + 3y = -1

• 3x - 4y = -4

• 4x - 3y = 1

• 3x + 4y = 4

What do you need to do if the coefficient of x is negative in standard form?

• Leave it as it is

• Multiply the entire equation by -1

• Subtract the same value from both sides

• Add the same value to both sides

What is the first step in converting Y - 4 = 5(X + 3) to standard form?

• Subtract 4 from both sides

• Distribute the 5

• Move the x term to the left side

• Add 4 to both sides

After distributing in Y - 4 = 5(X + 3), what is the next step?

• Multiply by -1

• Subtract 4 from both sides

• Add 4 to both sides

• Move the x term to the left side

What is the standard form of Y - 4 = 5(X + 3) after converting?

• 5x + y = 19

• 5x + y = -19

• 5x - y = 19

• 5x - y = -19

What should you keep in mind when working on the Khan Academy assignment?

• The x value can be negative

• The y value must always be positive

• Fractions are not allowed

• The x value must always be positive