Math Problem Statement

What is the equation of the line: y = 4x - 3?

Solution

The image shows the equation y=4x3y = 4x - 3, which represents a linear equation in slope-intercept form, where:

  • yy is the dependent variable.
  • xx is the independent variable.
  • 4 is the slope of the line, indicating that for every unit increase in xx, yy increases by 4.
  • 3-3 is the y-intercept, which is the point where the line crosses the y-axis.

Do you want details on how to graph this or any questions regarding this?

Here are 5 related questions to explore this topic further:

  1. What is the slope of a line, and how do we calculate it from an equation?
  2. How do you find the x-intercept of the equation y=4x3y = 4x - 3?
  3. Can you convert this equation into standard form?
  4. How do you determine if two lines are parallel or perpendicular by comparing their slopes?
  5. What happens to the graph if you change the slope from 4 to another value, say 2?

Tip: To graph linear equations quickly, use the slope and y-intercept as your key starting points.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

Slope of a Line
Intercept Theorem

Suitable Grade Level

Grades 7-9