SOLUTION: In this equation what do the letters x and y represent y=mx+b my understanding is that m is the slope and b in the y intercept

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Question 217416: In this equation what do the letters x and y represent
y=mx+b
my understanding is that m is the slope and b in the y intercept

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
In this equation what do the letters x and y represent
y=mx+b

my understanding is that m is the slope and b in the y intercept

You are correct that m is the slope and b is the y-intercept at x=0.

The x and y are coordinates of a point on a rectangular coordinate system.

So let's say m=2 and b=1

Then at x=1 y=mx+b=2*1+b=3

Then at x=0 y=2*0+1=1.

Using these two points you can plot a line as shown below and note the slope of 2 (one unit to the right means two units up) and y-intercept=b=1 at x=0 or at point (0,1):

graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C+2x%2B1%29

I hope the above steps were helpful.

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.

And good luck in your studies!

Respectfully,
Dr J