Question 1

What is the first step in finding the equation of a dilated line?

Accepted Answer

Plug the coordinates of the center of dilation into the given line equation.

Answer

Find the slope of a line parallel to the given line equation.

Answer

Find the slope of a line perpendicular to the given line equation.

Answer

Rewrite the given line equation in slope intercept (y = mx + b) form.

Question 2

From #11 on the homework:

What is the equation of the image of the line $y=-3x+2$ dilated with respect to the origin by a scale factor of 4?

What does the following work show?

Accepted Answer

The center of dilation (the origin or $(0,0)$ ) is not on the line $y=-3x+2$ .

Answer

The center of dilation (the origin or $(0,0)$ ) is on the line $y=-3x+2$ .

Answer

The line has a slope of 0.

Answer

The line has a y-intercept of 0.

Question 3

From #12 on the homework:

The line $y=-3x+2$ is transformed by a dilation with a scale factor of 2 and centered at the point (1,5). Write the equation of the line’s image.

What does the following work show?

Accepted Answer

The center of dilation $(0,0)$ is on the line $y=2x+3$ .

Answer

The center of dilation $(0,0)$ is not on the line $y=2x+3$ .

Answer

The line has a slope of 5.

Answer

The line has a y-intercept of 5.

Question 4

From #11 on the homework:

What is the equation of the image of the line $y=-3x+2$ dilated with respect to the origin by a scale factor of 4?

How can you tell by looking at the graph that the dilated line will not be the same line, $y=-3x+2$ ?

Accepted Answer

The center of dilation (the origin or $(0,0)$ ) is not on the graph of the line $y=-3x+2$ .

Answer

The center of dilation (the origin or $(0,0)$ ) is on the graph of the line $y=-3x+2$ .

Answer

The line has a slope of $(0,0)$ .

Answer

The line has a y-intercept of $y=-3x+2$ .

Question 5

From #9 on the Homework:

Triangle ABC and point D(-2,2) are graphed on the set of axes below. Graph and label △A'B'C', the image of △ABC, aftera dilation of scale factor 2 centered at point D.

Which of the following is the correct coordinates of one of the vertices of △A'B'C'?

Accepted Answer

B' (6, 8)

Answer

A' (1, 1)

Answer

C' (3, -4)

Answer

D' (-6, -1)

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