Math Problem Statement

convert this to slope-intercept form 3y+18x=0

Solution

To convert the equation 3y+18x=03y + 18x = 0 to slope-intercept form, which is y=mx+by = mx + b, follow these steps:

  1. Start with the given equation: 3y+18x=03y + 18x = 0

  2. Isolate yy by subtracting 18x18x from both sides: 3y=18x3y = -18x

  3. Divide both sides by 3 to solve for yy: y=6xy = -6x

Now the equation is in slope-intercept form y=6x+0y = -6x + 0, where:

  • The slope m=6m = -6
  • The y-intercept b=0b = 0

So, the slope-intercept form is: y=6xy = -6x

Would you like more details or have any questions about this process? Here's some additional related info:

  1. What is the slope of the line in the equation y=6x+3y = -6x + 3?
  2. How do you graph a line using slope-intercept form?
  3. What happens if the y-intercept is not 0 in slope-intercept form?
  4. How do you convert a linear equation in standard form to slope-intercept form?
  5. What is the slope-intercept form of the equation 5x+2y=105x + 2y = 10?

Tip: To convert equations to slope-intercept form, always aim to isolate yy on one side of the equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Slope-Intercept Form: y = mx + b
Standard Form: Ax + By = C

Theorems

Isolating variables
Solving linear equations

Suitable Grade Level

Grades 8-10