Solving literal equation to rewrite in slope intercept form 3x - 5y=9 for y

The video tutorial explains how to solve a literal equation for the variable Y. It begins by introducing the concept and the importance of converting equations from standard form to slope-intercept form. The instructor demonstrates a technique of 'pinning' the Y variable and using inverse operations to isolate it. The process involves undoing addition and subtraction first, followed by division to solve the equation. The tutorial concludes with a step-by-step solution, emphasizing the importance of understanding inverse operations and the order of operations.

What is the purpose of converting an equation from standard form to slope-intercept form?

• To make it easier to graph the equation

• To eliminate fractions

• To simplify the equation

• To find the roots of the equation

What is the first step in isolating the variable Y in an equation?

• Add a constant to both sides

• Divide both sides by a constant

• Multiply both sides by a constant

• Undo addition or subtraction

Why is it important to use inverse operations when solving for Y?

• To change the variable

• To eliminate the variable

• To make the equation more complex

• To ensure the equation remains balanced

What happens when you divide a negative by a negative in an equation?

• The result is undefined

• The result is negative

• The result is positive

• The result is zero

What is the final form of the equation after isolating Y?

• Y = -3/5X - 9/5

• Y = 3/5X + 9/5

• Y = -3/5X + 9/5

• Y = 3/5X - 9/5