Math Problem Statement

f(x)= − 4 3 ​ x+15

Solution

The function you've provided is:

f(x)=43x+15f(x) = -\frac{4}{3}x + 15

This is a linear function, which follows the standard form of a linear equation f(x)=mx+bf(x) = mx + b, where:

  • m=43m = -\frac{4}{3} is the slope of the line.
  • b=15b = 15 is the y-intercept, which means the line crosses the y-axis at (0,15)(0, 15).

Would you like a detailed explanation on how to analyze or graph this function?

Here are 5 related questions to consider:

  1. What is the slope of the line and how does it affect the graph?
  2. How would you find the x-intercept of this function?
  3. What is the domain and range of this linear function?
  4. How do you graph a linear function like this one?
  5. Can you find another point on the line besides the y-intercept?

Tip: When graphing a linear function, the slope tells you how steep the line is and in which direction it tilts.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Graphing

Formulas

Linear equation f(x) = mx + b

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 7-9