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Hmm, the slope is undefined. But like what exactly are you looking for as an answer?

The slope of the line passing through points is undefined.

What is slope of a line?

The slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the line. It is the ratio of the vertical change to the horizontal change between any two distinct points on a line.

For the given situation,

The line passing through points (x1, y1) is (-6, 3) and (x2,y2) is (-6, 39)

The formula of slope of line is

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

⇒ [tex]m=\frac{39-3}{-6-(-6)}[/tex]

⇒ [tex]m=\frac{39-3}{-6+6}[/tex]

⇒ [tex]m=\frac{39-3}{0}[/tex]

⇒ [tex]m=\infty[/tex]

Since x1 = x2, there is no horizontal change. The line passes as a straight line.

Hence we can conclude that the slope of the line passing through points is undefined.

Learn more about slope of a line here

brainly.com/question/18894159

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