Understanding Lines and Slopes

The video tutorial covers Activity 4, focusing on writing equations for five different lines labeled A to E. Each line is analyzed for its properties, such as being vertical or horizontal, and its slope. Line A and B are vertical lines with no slope, while lines C and D are horizontal with zero slope. Line E has a negative slope, and its equation is derived using the slope-intercept form. The tutorial provides a step-by-step explanation of how to determine the equations and characteristics of each line.

What is the equation of a vertical line that passes through x = -4?

• x = 4

• x = -4

• y = -4

• y = 4

Which of the following statements is true about vertical lines?

• They have no defined slope.

• They have a negative slope.

• They have a zero slope.

• They have a positive slope.

What is the equation of a vertical line that passes through x = 4?

• y = -4

• x = -4

• x = 4

• y = 4

What is the equation of a horizontal line that passes through y = 4?

• x = 4

• x = -4

• y = 4

• y = -4

Which of the following is true about horizontal lines?

• They have a positive slope.

• They have a negative slope.

• They have a zero slope.

• They have no defined slope.

What is the equation of a horizontal line that passes through y = -2?

• y = 2

• x = 2

• x = -2

• y = -2

What is the y-intercept of a line with a negative slope that passes through y = 1?

• y = 2

• y = -1

• y = 1

• y = 0

How do you calculate the slope of a line?

• Change in x divided by change in y

• Change in y divided by change in x

• Sum of x and y

• Difference between x and y

What is the slope of a line that moves 3 units down for every 4 units it moves to the right?

• -4/3

• 4/3

• -3/4

• 3/4

What is the equation of a line with a slope of -3/4 and a y-intercept of 1?

• y = -3/4x + 1

• y = 3/4x - 1

• y = 3/4x + 1

• y = -3/4x - 1