Math Problem Statement

y = 3x - 5

Solution

The equation you provided is a linear equation in slope-intercept form, which is expressed as:

y=mx+by = mx + b

where:

  • mm is the slope of the line (the rate at which yy changes with respect to xx).
  • bb is the y-intercept (the value of yy when x=0x = 0).

For your equation y=3x5y = 3x - 5:

  • The slope m=3m = 3, meaning that for every unit increase in xx, yy increases by 3.
  • The y-intercept b=5b = -5, meaning that the line crosses the y-axis at y=5y = -5.

Would you like to:

  1. Find specific points on the line?
  2. Graph the equation?
  3. Explore how to solve for xx?
  4. Calculate the slope between two points on the line?
  5. Understand how this equation relates to other types of functions?

Tip: The slope of a line indicates its steepness and direction. A positive slope means the line rises as you move from left to right.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Slope-intercept form y = mx + b

Theorems

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Suitable Grade Level

Grades 7-9