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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 \((1,4)\) and \((1,-3)\).

We will use slope formula to solve our given problem.

\(\text{Slope}=\frac{y_2-y_1}{x_2-x_1}\), where,

\(y_2-y_1\) = Difference between two y-coordinates,

\(x_2-x_1\) = Difference between two x-coordinates of same y-coordinates.

Let \((1,4)=(x_1,y_1)\) and \((1,-3)=(x_2,y_2)\).

\(\text{Slope}=\frac{-3-4}{1-1}\)

\(\text{Slope}=\frac{-7}{0}\)

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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