Math Problem Statement

Find the equation of a line passing through the point (-3, 2) with a slope of m = 5. Provide the answer in point-slope form.

Solution

It seems you've uploaded an image. Let me first examine it to assist you further. PIL import Image

Load and display the uploaded image

image_path = '/mnt/data/1733513553319efwtml6p.jpg' img = Image.open(image_path) img.show()I have displayed the image for you. Now, let me extract and analyze any mathematical content within it. pytesseract

Use pytesseract to extract text from the image

extracted_text = pytesseract.image_to_string(img)

extracted_textThe image contains the following information:

  • A point on the line: (-3, 2)
  • The slope of the line: m=5m = 5

It also asks for the equation of the line in point-slope form.

The point-slope form of a line is given by: yy1=m(xx1)y - y_1 = m(x - x_1) Where (x1,y1)(x_1, y_1) is the point on the line, and mm is the slope.

Substituting (x1,y1)=(3,2)(x_1, y_1) = (-3, 2) and m=5m = 5, the equation of the line is: y2=5(x+3)y - 2 = 5(x + 3)

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Point-Slope Form
Slope of a Line

Formulas

y - y1 = m(x - x1)

Theorems

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Suitable Grade Level

Grades 8-10