Math Problem Statement

Copy and complete the table for the graph y = -2x - 1. What values should replace A, B and C?

Solution

PIL import Image import pytesseract

Load the image from the provided path

image_path = '/mnt/data/1733336388959wq1ydf6h.jpg' img = Image.open(image_path)

Use pytesseract to extract text from the image

extracted_text = pytesseract.image_to_string(img) extracted_textThe table provided in the image asks to evaluate the equation y=2x1y = -2x - 1 for various xx-values to find the missing values AA, BB, and CC. Here's how to compute them:

Given Equation: y=2x1y = -2x - 1

  1. When x=1x = -1: y = -2(-1) - 1 = 2 - 1 = 1 \quad \text{(This is A)}.

  2. When x=0x = 0: y = -2(0) - 1 = -1 \quad \text{(This is B)}.

  3. When x=2x = 2: y = -2(2) - 1 = -4 - 1 = -5 \quad \text{(This is C)}.

Completed Table:

x & y \\ \hline -2 & 3 \\ -1 & 1 \quad (A) \\ 0 & -1 \quad (B) \\ 1 & -3 \\ 2 & -5 \quad (C) \\ \end{array}$$ Would you like further clarification or additional examples? ### Related Questions: 1. How do changes in the slope ($$m$$) of a linear equation affect the graph? 2. What is the significance of the y-intercept ($$b$$) in a linear equation? 3. How do you determine if a graph is linear by examining a table of values? 4. Can you find the x-intercept of $$y = -2x - 1$$? 5. How would you graph this equation using only the table of values? ### Tip: To find the slope of a line from a table of values, calculate the change in $$y$$ divided by the change in $$x$$.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Substitution
Graphing

Formulas

y = mx + b

Theorems

-

Suitable Grade Level

Grade 7-9