Isolating y and Graphing Lines

The video tutorial explains how to isolate the variable y in linear equations to facilitate graphing. It covers the leave-change-change method for converting subtraction to addition, making invisible coefficients visible, and identifying X terms and their opposites. The tutorial provides step-by-step instructions for isolating y by moving the X term and dividing by the Y coefficient. Finally, it demonstrates how to use the slope and Y-intercept to graph the equation on a coordinate plane.

Why is it important to isolate y in a linear equation?

• To solve for x

• To find the y-intercept

• To graph the equation quickly

• To determine the equation's domain

What does the 'leave change change' method help you do?

• Change addition to subtraction

• Find the y-intercept

• Identify the slope

• Change subtraction to addition

In the equation 2x - 7y = 14, what is the result of applying 'leave change change'?

• 2x + 7y = 14

• 2x - 7y = -14

• 2x + (-7y) = 14

• 2x - 7y = 14

What is the invisible one in the context of linear equations?

• A coefficient of one that is not written

• A hidden variable

• A placeholder for zero

• An unknown constant

How do you identify the opposite of an x term in an equation?

• By changing its sign

• By adding one to it

• By multiplying it by zero

• By dividing it by two

What is the first step in isolating y in an equation?

• Subtract the y term from both sides

• Multiply the y term by its coefficient

• Add the x term to both sides

• Move the x term to the right side

In the equation 4y = -3x + 2, what is the next step after moving the x term?

• Subtract 2 from both sides

• Multiply by 4

• Divide by 4

• Add 4 to both sides

What is the slope of the line represented by the equation y = 2x + 3?

• 3

• 2

• -2

• 0

What is the y-intercept of the equation y = 2x + 3?

• 2

• 3

• -3

• 0

How do you graph a line once you have the slope and y-intercept?

• Plot the y-intercept and use the slope to find another point

• Draw a horizontal line through the y-intercept

• Plot the x-intercept and draw a vertical line

• Use the slope to draw a line parallel to the x-axis