SOLUTION: Hi. I'm trying to find the slope intercept form of a line that is parallel to the given line and that passes thru the given point. Can you help me? parallel to y=5, thru (2,7)

Algebra ->  Linear-equations -> SOLUTION: Hi. I'm trying to find the slope intercept form of a line that is parallel to the given line and that passes thru the given point. Can you help me? parallel to y=5, thru (2,7)      Log On


   

Question 957413: Hi. I'm trying to find the slope intercept form of a line that is parallel to the given line and that passes thru the given point. Can you help me?
parallel to y=5, thru (2,7)
Found 3 solutions by MathLover1, josmiceli, stanbon:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

parallel to the given line y=5, through (2,7)
as you can see the given line +y=5 is a line that has zero slope, and is horizontal
you also know that two lines are parallel if they have same slope
so, the line that passes through (2,7) and has zero slope is y=7
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+5%2C+7%29+

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+5+ is a horizontal line. No matter what you
choose for +x+, +y+ is always +5+. A
horizontal line is the only line that does this.
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The slope of any horizontal line is +0+
Use the general point-slope formula
(2,7)
+%28+y+-+7+%29+%2F+%28+x+-+2+%29+=+0+
+y+-+7+=+0+
+y+=+7+
This makes sense because this is a horizontal line too
Here's the plot of these lines:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-2%2C+10%2C+5%2C+7%29+


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
parallel to y=5, thru (2,7)
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y = 5 is a horizontal line with slope = 0
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Your Problem:
To be parallel, slope must be 0 (i.e your line must be
a horizontal line thru (2,7))
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Answer:: y = 7
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Cheers,
Stan H.
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