SOLUTION: given Y - 3X = 4 - X determine the x-intercept and y-intercept

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Question 235345: given Y - 3X = 4 - X determine the x-intercept and y-intercept
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
The X-intercept is found when Y = 0
& the Y-intercept is found when X = 0
Given:Y+-+3X+=+4+-+X
To find the X-intercept I am going to solve this equation for Y
Y+-+3X+=+4+-+X Add 3X to both sides
Y+=+4+-+X+%2B+3X Simplify the equation
Y+=+4+%2B+2X Now we set Y = 0 to find the X-intercept
0+=+4+%2B+2X subtract 4 from both sides
-4+=+2X Divide both sides by 2
+-2+=+X
The X-intercept is -2
_________________________
To find the Y-intercept I am going to solve the given equation for X
Y+-+3X+=+4+-+X Add 3X to both sides
Y+=+4+-+X+%2B+3X Simplify the equation
Y+=+4+%2B+2X subtract 4 from both sides
Y+-+4+=+2X Now we set X = 0 to find the Y-intercept
Y+-+4+=+0 subtract 4 from both sides
Y+=+4
The Y-intercept is 4