Solving for y: A Deep Dive into Rational Expressions

The video tutorial covers graphing equations using the slope-intercept form, focusing on identifying slopes and y-intercepts. It then transitions to solving equations for y, emphasizing the importance of isolating the variable and understanding the role of constants and coefficients. The tutorial includes practical examples and step-by-step instructions to reinforce the concepts, preparing students for upcoming tests.

What is the slope in the equation y = 3x - 2?

• 3

• -2

• 0

• 1

In the equation y = 3x - 2, what does the -2 represent?

• X-intercept

• Coefficient of x

• Slope

• Y-intercept

If there is no number in front of a variable, what number is assumed?

• -1

• 0

• 2

• 1

What is the y-intercept in the equation y = -x + 6?

• -1

• 6

• -6

• 0

What is the slope of the equation y = -1/4x?

• 0

• 4

• -1/4

• 1

In the equation -3y = -9x - 12, what is the first step to isolate y?

• Add 9x to both sides

• Subtract 9x from both sides

• Multiply by -3

• Divide by -3

What is the slope of the equation y = 4/5x - 6?

• 5/4

• -5

• -6

• 4/5

In the equation -8y = 5x - 48, what is the y-intercept after solving for y?

• -6

• 5/8

• -5/8

• 6

What is the slope of the equation y = 2x - 1?

• -2

• 1/2

• 2

• -1

In the equation y = 7/4x + 2, what does the 2 represent?

• Slope

• Y-intercept

• X-intercept

• Coefficient of x