SOLUTION: I have no example of such question and I am stuck on this one. I do know how to change to slope intercept form. This is the question: Given the equation x+ky=3, find k so that its

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: I have no example of such question and I am stuck on this one. I do know how to change to slope intercept form. This is the question: Given the equation x+ky=3, find k so that its      Log On

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Question 127107: I have no example of such question and I am stuck on this one. I do know how to change to slope intercept form. This is the question: Given the equation x+ky=3, find k so that its graph has the same slope as the graph of 2x+y=5
Found 2 solutions by solver91311, dreamer:
Answer by solver91311(16868) About Me  (Show Source):
You can put this solution on YOUR website!
Slope-intercept form is y=mx%2Bb, so all you need do is solve the equation for y. Once you have done that, you know that the slope is whatever the coefficient on x turns out to be.

2x%2By=5

Add -2x to both sides:
y=-2x%2B5

Note that now we have y on the left and everything else on the right. The slope is then -2.

x%2Bky=3

Add -x to both sides:
ky=-x%2B3

Now divide both sides by k:
y=-x%2Fk%2B3%2Fk

Here the coefficient on x is -1%2Fk, but we want to know what k would be so that -1%2Fk=-2

Multiply by -1
1%2Fk=2

Divide 1 by both sides:
1%2F%281%2Fk%29=1%2F2

Simplify:
k=1%2F2

Answer by dreamer(2) About Me  (Show Source):
You can put this solution on YOUR website!
2x + y = 5
2x -2x + y =5 - 2x
y= -2x+5
m= -2 (slope) b= 5 (y intercept)