Math Problem Statement

3x + 17y − 1 = 0

Solution

The equation you provided is:

3x+17y1=03x + 17y - 1 = 0

This is a linear equation in two variables, xx and yy. To better understand the relationship between xx and yy, we can rearrange it into slope-intercept form (y=mx+by = mx + b), where mm is the slope and bb is the y-intercept.

To isolate yy:

3x+17y=13x + 17y = 1 17y=3x+117y = -3x + 1 y=317x+117y = \frac{-3}{17}x + \frac{1}{17}

So the equation becomes: y=317x+117y = -\frac{3}{17}x + \frac{1}{17}

This represents a straight line with a slope of 317-\frac{3}{17} and a y-intercept of 117\frac{1}{17}.

Do you have any questions or would you like more details?

Here are 5 related questions to explore:

  1. How do you calculate the slope of a line from two points?
  2. What is the general form of a linear equation?
  3. How can you find the x-intercept of this equation?
  4. What does the slope represent in a real-world context?
  5. How would you graph this linear equation?

Tip: When graphing a line, start with the y-intercept and use the slope to find additional points.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form
Coordinate Geometry

Formulas

Slope-intercept form y = mx + b

Theorems

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Suitable Grade Level

Grades 8-10