Math Problem Statement

y=-3x-4

Solution

The equation you've provided is in slope-intercept form:

y=3x4y = -3x - 4

This represents a straight line with:

  • Slope (m) = -3, which means the line slopes downward at a rate of 3 units vertically for every 1 unit moved horizontally to the right.
  • Y-intercept (b) = -4, which means the line crosses the y-axis at y=4y = -4.

Would you like me to graph this equation or help with something else related to it?


Follow-up questions:

  1. How do you find the slope and y-intercept from an equation in slope-intercept form?
  2. How would you graph the equation y=3x4y = -3x - 4?
  3. What would the equation look like if the slope was positive instead of negative?
  4. How would you convert this equation into standard form?
  5. How do you find the x-intercept of the equation y=3x4y = -3x - 4?

Tip: When graphing lines from slope-intercept form, start by plotting the y-intercept, then use the slope to find other points.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form
Graphing Linear Equations

Formulas

y = mx + b

Theorems

Slope-intercept theorem

Suitable Grade Level

Grades 7-9