Understanding Lines and Slopes

The video tutorial explains how to determine the equations of horizontal and vertical lines through given points. It covers the concept of slope, showing that horizontal lines have a slope of zero while vertical lines have an undefined slope. The tutorial uses visual aids to help understand these concepts, emphasizing that horizontal lines maintain a constant y-value and vertical lines maintain a constant x-value.

What is the equation of a horizontal line passing through the point (-4, 6)?

• x = -4

• y = 6

• x = 6

• y = -4

In which quadrant is the point (-4, 6) located?

• First Quadrant

• Fourth Quadrant

• Second Quadrant

• Third Quadrant

What is the slope of the line y = -4?

• Negative

• Positive

• Zero

• Undefined

Why is the slope of a horizontal line zero?

• Because x changes but y does not

• Because y changes but x does not

• Because both x and y change

• Because neither x nor y change

What is the slope of a line where y is constant?

• Undefined

• Zero

• Positive

• Negative

What is the slope of the line x = -3?

• Positive

• Zero

• Negative

• Undefined

Why is the slope of a vertical line considered undefined?

• Because both x and y change

• Because y changes but x does not

• Because neither x nor y change

• Because x changes but y does not

What is the equation of a vertical line passing through the point (-5, 2)?

• x = 2

• y = -5

• y = 2

• x = -5

If a line is vertical, what remains constant?

• y-coordinate

• Neither x nor y coordinates

• x-coordinate

• Both x and y coordinates

What is the equation of a line where x is constant?

• y = constant

• x = constant

• x + y = constant

• x - y = constant