Rewriting Linear Equations in Slope-Intercept Form

The video tutorial demonstrates how to convert equations into slope-intercept form (y = mx + b). It provides two examples: the first equation is 2X + 4Y - 8 = 2, and the second is -5X + 10Y = 25. The instructor explains each step, including moving terms, combining like terms, and dividing to isolate the variable Y. The tutorial highlights how to identify the slope (m) and the Y-intercept (b) from the final equation form, making it easier to understand the line's characteristics on a graph.

What is the first step to rewrite an equation in slope intercept form?

• Subtract 2x from both sides

• Add x to both sides

• Subtract x from both sides

• Divide all terms by the coefficient of y

What operation is performed to eliminate the constant term on the left side of the equation?

• Adding 8 to both sides

• Multiplying both sides by 8

• Dividing both sides by 8

• Subtracting 8 from both sides

After dividing all terms by 4, what is the coefficient of x in the slope intercept form?

• 2

• -2

• 1/2

• -1/2

What is the y-intercept in the first example equation?

• -2/5

• -5/2

• 2/5

• 5/2

How do you identify the slope in the slope intercept form?

• It's the variable x itself

• It's the coefficient of x

• It's the coefficient of y

• It's the constant term

Why do we rewrite equations in slope intercept form?

• To find the x-intercept easily

• To simplify the equation

• To make it easier to multiply

• To easily identify the slope and y-intercept

In the second example, what operation is initially performed to start rewriting the equation?

• Adding 5x to both sides

• Subtracting 5x from both sides

• Multiplying both sides by 5x

• Dividing both sides by 5x

What is the final step to rewrite the second equation in slope intercept form?

• Multiplying both sides by 10

• Subtracting 10 from both sides

• Adding 10 to both sides

• Dividing both sides by 10

What is the slope of the second example equation?

• 2

• 5

• 1/2

• 1/5

What is the y-intercept of the second example equation?

• 1/2

• 2

• 5

• 10