SOLUTION: How do I find the slope of 5x-2y=10?

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Question 216340: How do I find the slope of 5x-2y=10?
Found 2 solutions by rapaljer, drj:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for y in terms of x:
5x-2y=10
-2y=-5x+10

Divide by -2:
y=5/2x -5

The slope is the coefficient of x, which is m=5/2.

R^2

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
How do I find the slope of 5x-2y=10?

Step 1. To find the slope of this equation in standard form you need to change it to slope intercept form given as y=mx+b where m is the slope and the y-intercept is b when x=0 and at point (0,b).

Step 2. Take equation 5x-2y=10 in standard form and put in slope-intercept form

5x-2y=10

Add 2y-10 to both sides of the equation

5x-2y%2B2y-10=10%2B2y-10

5x-10=2y

Divide 2 to both sides of the equation

5x%2F2-10%2F2=2y%2F2

5x%2F2-5=y

y=5x%2F2-5

Step 3. ANSWER: The equation y=5x%2F2-5 is in slope-intercept form where the slope m=5/2 and slope-intercept b=-5 at (0,-5).

The graph of this line is shown below. Note the slope m=5/2 (which means 2 horizontal steps to the right will result in 5 vertical steps up). Also note the y-intercept b=-5 at x=0 at point (0,-5)

graph%28400%2C400%2C+-10%2C10%2C-10%2C10%2C+5x%2F2-5%29

I hope the above steps and explanation were helpful.

For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonmetry please visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Also, good luck in your studies and contact me at
john@e-liteworks.com for your future math needs.

Respectfully,
Dr J