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texaschic101
(1,4)(1,-3)....little tip...notice how the x's are the exact same number...if the x's are the same number, then the line is a vertical line and a vertical line has an undefined slope.

if the y's would have been the exact same number, then the line would have been a horizontal line with a slope of 0.

Answer:

The slope of our given line is undefined.

Step-by-step explanation:

We are asked to find the slope of line that passes through points [tex](1,4)[/tex] and [tex](1,-3)[/tex].

We will use slope formula to solve our given problem.

[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex], where,

[tex]y_2-y_1[/tex] = Difference between two y-coordinates,

[tex]x_2-x_1[/tex] = Difference between two x-coordinates of same y-coordinates.

Let [tex](1,4)=(x_1,y_1)[/tex] and [tex](1,-3)=(x_2,y_2)[/tex].

[tex]\text{Slope}=\frac{-3-4}{1-1}[/tex]

[tex]\text{Slope}=\frac{-7}{0}[/tex]

Since x-coordinates of both points are same, this means that our given line is a vertical line, therefore, the slope of our given line is undefined.

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