Math Problem Statement

y = -2/7x

Solution

The equation provided in the image is:

y=27xy = -\frac{2}{7}x

This represents a linear equation in slope-intercept form y=mx+by = mx + b, where:

  • m=27m = -\frac{2}{7} is the slope of the line,
  • b=0b = 0 since no constant term is present, meaning the line passes through the origin (0, 0).

The negative slope indicates that the line is decreasing as xx increases.

Would you like further details on graphing this line or have any specific questions?

Related Questions:

  1. How do you find the slope between two points on a line?
  2. What does the slope of a line represent geometrically?
  3. How do you determine the y-intercept in a linear equation?
  4. How do you calculate the x-intercept for this equation?
  5. How can you write an equation for a line parallel to this one?

Tip: The slope tells you how much yy changes for a unit change in xx. In this case, for every increase of 7 units in xx, yy decreases by 2 units.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form
Graphing

Formulas

y = mx + b

Theorems

Slope of a Line

Suitable Grade Level

Grades 7-9