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VUX : vertical line, undefined slope, represented by x = a number
HOY : horizontal line, 0 slope, represented by y = a number

so we need an undefined slope.....that means it is a vertical line.....it is represented by x = a number......and that number is the one in the x position...so ur equation is : x = 4 (because (4,7)...the x digit is 4

Answer:

B. [tex]x=4[/tex]

Step-by-step explanation:

We have been given coordinate of a point (4,7). We are asked to find the equation of the line that has an undefined slope and passes through the given point.

We know that slope of a vertical line is undefined. So the vertical line passing through point (4,7) will have an undefined slope.

The slope of line will be undefined when x-coordinates of all points on the line are equal.

Since the line [tex]x=4[/tex] will have same x-coordinates for all y-coordinates, therefore, option B is the correct choice.

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