Math Problem Statement

Y=3x-5

Solution

The equation you provided is a linear equation in slope-intercept form:

y=3x5y = 3x - 5

This equation represents a straight line, where:

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

Would you like to explore more about this equation, such as graphing it or finding specific points on the line? Let me know!

Related Questions:

  1. How do you graph the equation y=3x5y = 3x - 5?
  2. What is the slope of the line y=3x5y = 3x - 5?
  3. How would the line change if the equation was y=2x5y = 2x - 5?
  4. What does the y-intercept represent in a real-world context?
  5. How do you convert the equation y=3x5y = 3x - 5 to standard form?

Tip:

To graph a linear equation, plot the y-intercept first, then use the slope to find another point by moving right or left by the x-value and adjusting up or down according to the slope.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-9