SOLUTION: 2x +3y=6

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


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



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







Step 3. Divide 3 to both sides of equation




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 describes a sloping line. For any
equation ax+by+c = 0, slope is .
  • 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.



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




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