SOLUTION: Graph using the slope and the y-intercept x+5y=10

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Question 217960: Graph using the slope and the y-intercept
x+5y=10

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Graph using the slope and the y-intercept
x+5y=10

Step 1. The slope-intercept from is given as y=mx+b where m is the slope and b is the y-intercept at x=0 or at point (0,b).

Step 2. Put the given equation in slope intercept form.

x%2B5y=10

Subtract x from both sides of the equation

x%2B5y-x=10-x

5y=-x%2B10

Divide 5 to both sides of equation

5y%2F5=-x%2F5%2B10%2F5

y=-x%2F5%2B2

Step 3. The equation y=-x%2F5%2B2 has a slope m=-1/5 and y-intercept b=2.

Now the slope of -1%2F5 for every five unit you go the right, you go one unit down.
To plot the line take the y-intercept at point (0,2). So starting at point (0,2) or x1=0 and y1=2 we go five unit to the right means x2=0+5=5 and 1 unit down means y2=2-1=1. So we have two points (0,2) and (5,1).

graph%28400%2C400%2C+-15%2C+15%2C+-5%2C+5%2C+-x%2F5%2B2%29

I hope the above explanation was useful.

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