SOLUTION: Write the equation of the line passing through (�6, �9) and (1, �9).

Question 117206:
Write the equation of the line passing through (�6, �9) and (1, �9).
Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First lets find the slope through the points (,) and (,)

Start with the slope formula (note: is the first point (,) and is the second point (,))

Plug in ,,, (these are the coordinates of given points)

Subtract the terms in the numerator to get . Subtract the terms in the denominator to get

Reduce

So the slope is

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Now let's use the point-slope formula to find the equation of the line:

------Point-Slope Formula------
where is the slope, and is one of the given points

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Rewrite as

Rewrite as

Distribute

Multiply and to get . Now reduce to get

Subtract from both sides to isolate y

Combine like terms and to get

Remove the zero term
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Answer:

So the equation of the line which goes through the points (,) and (,) is:

The equation is now in form (which is slope-intercept form) where the slope is and the y-intercept is

Notice if we graph the equation and plot the points (,) and (,), we get this: (note: if you need help with graphing, check out this solver )

Graph of through the points (,) and (,)

Notice how the two points lie on the line. This graphically verifies our answer.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
slope=(-9+9)/(1+6)
slope=(0/7)
slope=0
now replace the line formula [Y=mX+b]
-9=0*-6+b
b=-9
SO THE EQUATION IS Y=-9.
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, Y = -9).
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