Understanding Slopes and Equations of Lines

The video tutorial explains when a slope is undefined, particularly when a fraction has a zero in the denominator. It covers different types of slopes, including positive, negative, zero, and undefined slopes. The tutorial demonstrates how to calculate the slope of vertical and horizontal lines using specific points and explains why vertical lines have undefined slopes while horizontal lines have zero slopes. It also provides guidance on writing equations for vertical and horizontal lines without using the slope.

What happens to a fraction when the denominator is zero?

• It becomes zero

• It becomes undefined

• It becomes infinite

• It becomes negative

Which type of line has an undefined slope?

• Vertical line

• Diagonal line

• Horizontal line

• Curved line

What is the slope of a line that rises as it moves from left to right?

• Negative slope

• Zero slope

• Positive slope

• Undefined slope

How do you calculate the slope of a line using two points?

• X2 minus X1 over Y2 minus Y1

• Run over rise

• Add the coordinates

• Y2 minus Y1 over X2 minus X1

What is the slope of a horizontal line?

• Zero

• Negative

• Undefined

• Positive

If a line has a zero in the numerator of its slope calculation, what is the slope?

• Negative

• Zero

• Undefined

• Positive

How can you write the equation of a vertical line?

• By setting x equal to a constant

• Using the point-slope form

• Using the slope-intercept form

• By setting y equal to a constant

What is the equation of a horizontal line with a constant y-value of 3?

• y = 0

• x = 3

• x = 0

• y = 3

Which value remains constant in the equation of a vertical line?

• Y-value

• Slope

• X-value

• Intercept

What is the key to writing the equation of a horizontal line?

• Focus on the x-value

• Focus on the y-value

• Use the slope

• Use the intercept