SOLUTION: Write the point slope form of the equation of the horizontal line that passes through the point (2,1)

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Question 1062203: Write the point slope form of the equation of the horizontal line that passes through the point (2,1)
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
y = 1, or, which is the same, y = 0*x + 1.

The slope is 0 (zero).


Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Write the point slope form of the equation of the
horizontal line that passes through the point (2,1)


Let's plot the point (2,1):



Next let's draw a horizontal line through it (in green):



Now let's plot another point on that line, say the point
(-3,1)



Now we use the slope formula:

m%22%22=%22%22%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

m%22%22=%22%22%28%281%29-%281%29%29%2F%28%282%29-%28-3%29%29

m%22%22=%22%22%281-1%29%2F%282%2B3%29

m%22%22=%22%220%2F5

m%22%22=%22%220

Now use the slope-intercept form:

y-y%5B1%5D%22%22=%22%22m%28x-x%5B1%5D%29

y-1%22%22=%22%220%28x-2%29

y-1%22%22=%22%220

y%22%22=%22%221

A much easier way is just to observe that every point
on that horizontal line will have the same y-coordinate,
so since the point (2,1) has the y-coordinate 1, that means
all values of y on this line will also be 1.  So we could
just have written down the equation

y = 1

in the beginning in one step!!!

Edwin