SOLUTION: y = 2x + 3 y = 2x + 5 You know by looking at these two problems that the slope is the same for each equation (y = mx + b - the slope is 2) and they have a different y-intercept

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Question 483193: y = 2x + 3
y = 2x + 5
You know by looking at these two problems that the slope is the same for each equation (y = mx + b - the slope is 2) and they have a different y-intercept.
First - what is the y-intercept for each of these equations? Second - can you say anything about this system of equations - visualize the solution?

Found 2 solutions by edjones, stanbon:
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
y = 2x + 3
y = 2x + 5
You know by looking at these two problems that the slope is the same for each equation (y = mx + b - the slope is 2) and they have a different y-intercept.
---------------------------

First - what is the y-intercept for each of these equations?
1st: 3
2nd: 5
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Second - can you say anything about this system of equations - visualize the solution?
The line are parallel.
They have no common point.
The system has no solution.
----------------------------
Cheers,
Stan H.

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