Dilation and Line Equations

This video tutorial covers 8th-grade mathematics, focusing on using equations for lines. It includes problems on identifying points on a line, finding equations relating x and y, and drawing dilations of geometric shapes. The tutorial uses graph paper to visualize slopes and y-intercepts, and it explains how to determine if points or segments are dilations based on scale factors.

What is the slope of the line passing through the points (0, 5) and (2, 8)?

• 2/3

• 5/3

• 3/2

• 1/2

Which of the following points lies on the line with the equation y = 3/2x + 5?

• (40, 60)

• (6, 14)

• (5, 10)

• (4, 11)

What is the y-intercept of the line with the equation y = 2x - 3?

• -3

• 0

• 3

• 5

If triangle ABC is dilated with a center at (2, 0) and a scale factor of 2, what happens to the side lengths?

• They remain the same

• They halve

• They triple

• They double

What is the new x-coordinate of point C after a dilation with a scale factor of s?

• 2 + 3s

• 2s + 3

• 5s

• 3 + 2s

What is the equation of the line containing all possible images of point C after dilation?

• y = 3(x - 2)

• y = 1/3(x - 2)

• y = x - 2

• y = 2/3(x - 2)

What is the scale factor if the side lengths of triangle ABC triple?

• 1/2

• 3

• 2

• 1/3

Which line segment is a dilation of segment BC with a scale factor of 2/3?

• Segment GJ

• Segment AB

• Segment FH

• Segment ED

Which line segment is a dilation of segment BC with a scale factor of 3/2?

• Segment FH

• Segment AB

• Segment GJ

• Segment ED

Which line segment is not a dilation of segment BC?

• Segment AB

• Segment FH

• Segment GJ

• Segment ED