Exploring Dilating Equations of Lines

What is the slope of the line y = 2x + 2?

• 1

• 4

• 3

• 2

What happens to the position of the line when it is dilated by a scale factor of 3?

• It disappears

• It moves but remains parallel

• It moves and changes slope

• It remains the same

What are the new coordinates of the point (-2, -2) after dilation by a scale factor of 3?

• (-1, -1)

• (-3, -3)

• (-9, -9)

• (-6, -6)

What is the y-intercept of the new line after dilation by a scale factor of 3?

• 4

• 6

• 8

• 2

What remains unchanged when a line is dilated and the center is not on the line?

• Neither slope nor y-intercept

• Y-intercept

• Slope

• Both slope and y-intercept

What is the equation of the line y = 3x after dilation by a scale factor of 2 centered at the origin?

• y = 6x

• y = 1.5x

• y = 3x

• y = 2x

What happens to the line when the center of dilation is on the line?

• It becomes steeper

• It shifts vertically

• It remains the same

• It rotates

What is the new equation of the line y = 2x - 4 after dilation by a scale factor of 3/2?

• y = 2x - 6

• y = 3x - 4

• y = 3x - 6

• y = 2x - 4

How do you check if the center of dilation is on the line using a graphing calculator?

• By plotting the line

• By checking the table for the center coordinates

• By calculating the slope

• By multiplying the y-intercept

What is the equation of the line y = 3x - 1 after dilation with a center at (3, 8)?

• y = 3x - 1

• y = 6x - 1

• y = 3x - 2

• y = 6x - 2