Math Problem Statement

y = (3/5)x - 4

Solution

The equation shown in the image is:

y=35x4y = \frac{3}{5}x - 4

This is the equation of a straight line in slope-intercept form y=mx+by = mx + b, where:

  • m=35m = \frac{3}{5} is the slope of the line.
  • b=4b = -4 is the y-intercept, which is the point where the line crosses the y-axis.

Would you like a detailed breakdown of how to graph this equation or further analysis of the slope and intercept?

Here are 5 related questions you might consider:

  1. How do you find the x-intercept of the line?
  2. What is the slope of a perpendicular line to this one?
  3. How can you find the point of intersection of this line with another line?
  4. How does changing the slope affect the steepness of the line?
  5. How can you rewrite this equation in standard form Ax+By=CAx + By = C?

Tip: The slope m=35m = \frac{3}{5} means that for every 5 units you move horizontally (right), the line moves up 3 units vertically.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 8-10