SOLUTION: 2x +3y=6

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Question 213816: 2x +3y=6
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
2x+%2B3y=6

Here I assume you want to plot the line.

Step 1. Let's put it in slope-intercept form y=mx+b where m is the slope and b is the y-intercepts

2x+%2B3y=6

Step 2. Subtract -2x from both sides of equation.

2x+%2B3y-2x=6-2z

2x+%2B3y-2x=6-2z

3y=6-2x

Step 3. Divide 3 to both sides of equation

3y%2F3=%286-2x%29%2F3

y=%28-2x%29%2B2
Step 4. So y=-2x/3+2 where slope m=-2/3 and y-intercept b=2.

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 2+x+%2B+3+y+=+6 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-2%2F3.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 6/2 = 3.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 6/3 = 2.
  • Slope is -2/3 = -0.666666666666667.
  • Equation in slope-intercept form: y=-0.666666666666667*x+2.
graph%28+500%2C+500%2C+3-8%2C+3%2B8%2C+2-8%2C+2%2B8%2C+-0.666666666666667%2Ax%2B2+%29+



I hope the above steps were helpful.

And good luck in your studies!

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Respectfully,
Dr J