Exploring Rational Expressions in Solving for Y

The video tutorial covers solving equations for y, graphing in slope-intercept form, and understanding different levels of complexity in solving and graphing equations. It explains how to handle equations with y on the right side, simplifies fractions, and discusses vertical and horizontal lines, including their slopes.

What is the first step in solving for y in the equation 4x + y = 6?

• Add 4x to both sides

• Divide both sides by 4

• Subtract 4x from both sides

• Multiply both sides by 4

When writing an equation in slope-intercept form, which term is written first?

• The x term

• The slope

• The y-intercept

• The constant term

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

• -4

• 6

• 4

• -6

How do you graph the y-intercept of an equation?

• Start at the y-intercept and move left or right based on the slope

• Start at the y-intercept and move up or down based on the slope

• Start at the origin and move left or right based on the y-intercept value

• Start at the origin and move up or down based on the y-intercept value

What is the y-intercept of the equation y = -3x - 6?

• (0, -3)

• (-6, 0)

• (0, -6)

• (-3, 0)

How do you convert the equation -3x + y = 4 to slope-intercept form?

• Divide both sides by -3

• Multiply both sides by -3

• Subtract 3x from both sides

• Add 3x to both sides

What is the slope of the equation y = 3/4x - 4?

• 3/4

• 4

• -4

• -3/4

What type of line is represented by the equation x = 6?

• Vertical line

• No line

• Horizontal line

• Diagonal line

What is the slope of a vertical line?

• Undefined

• Zero

• Positive

• Negative

What is the slope of a horizontal line?

• Positive

• Negative

• Undefined

• Zero