SOLUTION: Given: 3y+6x=12 Solve the equation for y and graph the equation

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Question 190730: Given: 3y+6x=12
Solve the equation for y and graph the equation
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Given: 3y+6x=12
.
Begin by subtracting 6x from both sides:
3y+6x-6x = -6x+12
3y = -6x+12
.
Now, divide both sides by 3:
(3y)/3 = (-6x+12)/3
y = -2x+4 (this is what they're looking for -- "slope-intercept" form)
.
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 2+x+%2B+1+y+=+4 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-2%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 4/2 = 2.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 4/1 = 4.
  • Slope is -2/1 = -2.
  • Equation in slope-intercept form: y=-2*x+4.
graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+4-8%2C+4%2B8%2C+-2%2Ax%2B4+%29+