# Line Dilations Exploration

- Author:
- siegel.benjamin1

- Topic:
- Dilation

## Linear Dilations Exploration Instructions

**(k)**or the center of dilation

**(point D)**has on the equations of the pre-image.

**After performing each dilation, please convert each equation into slope-intercept form and then write your answer to the question.**

## Pre-work

## Prework Question

What is the slope and y-intercept of the pre-image?

## Case 1: Dilation centered around the origin.

## Case 1 Question 1

What happened to the slope? What happened to the y-intercept?

## Case 1 Question 2

**WITHOUT USING THE GEOGEBRA GRAPH (we will know if you are lying to us. We always know),** what would you expect the equation of the line y = 2x + 3 to be after a dilation centered at the origin with a scale factor of 3?

## Case 2: Dilation centered on the line

## Case 2 Question 1

What happened to the slope? What happened to the y-intercept?

## Case 2 Question 2

**WITHOUT USING THE GEOGEBRA GRAPH (we will know if you are lying to us. We always know),** what would you expect the equation of the line y = 2x + 3 to be after a dilation centered on the line with a scale factor of 3?

## Case 3: Dilation not centered on the origin or line

## Case 3 Question 1

What happened to the slope? What happened to the y-intercept?

## Case 3 Question 2

**WITHOUT USING THE GEOGEBRA GRAPH (we will know if you are lying to us. We always know),** what would you expect the equation of the line y = 2x + 3 to be after a dilation centered at point (1,3) with a scale factor of 3?