Math Problem Statement

y=3x-4

Solution

The equation you've provided is a linear equation in the form y=mx+by = mx + b, where:

  • m=3m = 3 is the slope of the line.
  • b=4b = -4 is the y-intercept, meaning the point where the line crosses the y-axis.

This line has a slope of 3, meaning for every unit increase in xx, yy increases by 3. The line will intersect the y-axis at y=4y = -4.

Would you like help graphing this line, or do you have any other questions about it?

Additional questions you may find helpful:

  1. How to find the x-intercept of the line y=3x4y = 3x - 4?
  2. What does the slope of a line represent geometrically?
  3. How to graph a line from an equation like y=3x4y = 3x - 4?
  4. What is the significance of the y-intercept in real-life scenarios?
  5. How do you determine if two lines are parallel or perpendicular?

Tip: To graph a linear equation like this, start by plotting the y-intercept (-4), then use the slope (3) to plot another point, moving 3 units up for every 1 unit you move to the right.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form
Graphing Linear Equations

Formulas

y = mx + b

Theorems

Slope of a line
y-intercept

Suitable Grade Level

Grades 7-9