SOLUTION: 2x+4y=15

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Question 226066: 2x+4y=15
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B4y=15

Step 1. I assume you want to plot this linear equation given in standard form.

Step 2. It takes two point to generate a line.

Step 3. Let x=0 then

2%2A0%2B4y=15

Divide 4 to both sides of the equation 4y%2F4=15%2F4

y=15%2F4. So one point is (0,15/4).

Step 4. Let y=0, then

2x%2B4%2A0=15

Divide 2 to both sides of the equation 2x%2F2=15%2F2

x=15%2F2. So another point is (15/2, 0).

Step 5. Use these two points (0,15/4) and (15/2,0) to plot the line.

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 2+x+%2B+4+y+=+15 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-2%2F4.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 15/2 = 7.5.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 15/4 = 3.75.
  • Slope is -2/4 = -0.5.
  • Equation in slope-intercept form: y=-0.5*x+3.75.
graph%28+500%2C+500%2C+7.5-8%2C+7.5%2B8%2C+3.75-8%2C+3.75%2B8%2C+-0.5%2Ax%2B3.75+%29+



I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J