SOLUTION: what is the linear equation that has a line that passes through (1,-4) and has a slope that is undefined?

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Question 1121114: what is the linear equation that has a line that passes through (1,-4) and has a slope that is undefined?
Found 4 solutions by greenestamps, josmiceli, MathTherapy, Alan3354:
Answer by greenestamps(13203) About Me  (Show Source):
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An undefined slope means the line is vertical. That means its equation is x=C for some constant C.

Since the line passes through (1,-4) and the equation is x=C for some constant C, that constant must be 1.

The equation is x=1.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = the undefined slope
Let +b+ = the y-intercept
+y+=+m%2Ax+%2B+b+
Plug ( 1, -4 ) into this equation
+-4+=+m%2A1+%2B+b+
+b+=+-m+-+4+
Plug this result into the general equation above
+y+=+m%2Ax+-+m+-+4+
Check:
Does it go through ( 1, -4 ) ?
+y+=+m%2A1+-+m+-+4+
+y+=+-4+
OK

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
what is the linear equation that has a line that passes through (1,-4) and has a slope that is undefined?
SERIOUSLY, Josmiceli!!! An equation with an UNDEFINED SLOPE is y = - 4?
Anyway, the answer is highlight_green%28matrix%281%2C4%2C+%22SIMPLY%3A%22%2C+x%2C+%22=%22%2C+1%29%29
That's all that there is to it! An equation that contains AN UNDEFINED slope is: x = WHATEVER the x-coordinate is!!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Undefined means parallel to the y-axis.
That's usually called vertical, but if you rotate the graph paper 90 degs, it's horizontal.
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Also, in 3-space - x, y & z - the z-axis is usually vertical.
Parallel to the y-axis is always correct in 2-space.