https://r2.erweima.ai/mathbot/image/17264031101610fjn1v9s.jpg

Let's break down the problem step by step based on the image you uploaded:

### Problem 3) Solve these axes scale problems.

#### a) If coordinate A is (-6, 4), what are B and C?
From the graph, we can observe the locations of the points. You provided the coordinates for point A (-6, 4), but to identify B and C, we need to examine their relative positions on the axes:

- Based on the image, **Point B** appears to be located to the right and slightly lower than point A. Its coordinates seem to be (-2, 2).
- **Point C** appears lower and somewhat to the left of A. Its coordinates seem to be (-8, -2).

So:
- \( B = (-2, 2) \)
- \( C = (-8, -2) \)

#### b) If coordinate C is (-6, -40), what are A and B?
This part is asking for a different set of coordinates and refers to a different setup or scale, possibly larger. However, if we base it on the graph:
- **Point A** from the graph has been established as (-6, 4) from part (a).
- The exact coordinates for **Point B** would remain the same as in part (a), so \( B = (-2, 2) \).

#### c) If coordinate B is (-40, 0), what are A and C?
This question refers to a different axes scale where B has shifted to (-40, 0). For this new scale:
- A and C would scale accordingly, but without a grid reference for this scaling, we cannot pinpoint their values without further information on the scaling factor.

Would you like further details on any of these parts? Feel free to clarify if needed!

Here are 5 related questions to expand on this:
1. How do you determine the coordinates of a point from a graph?
2. What is the importance of scale when working with different coordinate systems?
3. How do the x- and y-axes relate to the coordinates of a point?
4. How would the distance between points A and B change if the scale of the graph changes?
5. Can you explain how to reflect a point across the x- or y-axis?

**Tip:** Always ensure that you have the same scale for the x-axis and y-axis when comparing points on a graph.

Explore the essentials of coordinate geometry with scale transformations and graph interpretation through step-by-step problem-solving guidance. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation