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

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)   (Show Source): You can put this solution on YOUR website!

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)   (Show Source): You can put this solution on YOUR website!
Let = the undefined slope
Let = the y-intercept

Plug ( 1, -4 ) into this equation

Plug this result into the general equation above

Check:
Does it go through ( 1, -4 ) ?

OK

Answer by MathTherapy(10555)   (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
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)   (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.
---------
Also, in 3-space - x, y & z - the z-axis is usually vertical.
Parallel to the y-axis is always correct in 2-space.
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