Question

a line that includes the points (3, -1) and (w, 6) has an undefined slope. what is the value of w?

w =

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Explanation:

Step1: Recall undefined slope condition

A line has an undefined slope when it is vertical, meaning all points on the line have the same x - coordinate. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, and for a vertical line, $x_2 - x_1=0$ (since division by zero is undefined), so $x_1=x_2$.

Step2: Apply the condition to the given points

We have two points $(3,-1)$ and $(w,6)$. For the line to be vertical (undefined slope), the x - coordinates of the two points must be equal. The x - coordinate of the first point is 3, so the x - coordinate of the second point $w$ must also be 3.

Answer:

3