Verified Answer :

if the line passes through (4, 7) its equation is: x = 4

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Answer:

x=4

Step-by-step explanation:

For any two points of a line, say \((x_1,y_1),(x_2,y_2)\) the slope of the line is \(m=\frac{y_2-y_1}{x_2-x_1}\). If the slope is undefined, it is because division by zero, then \(x_2-x_1=0\), that is, \(x_1=x_2\). This means that all the points of the line have the same x-coordinate. Because (4,7) is on the line and its x coordinate is 4, the points (x,y) of the line satisfy the equation x=4.

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