## Give line XY with coordinates X(3,1) and Y(3,-3), find the length of line XY

Question

Give line XY with coordinates X(3,1) and Y(3,-3), find the length of line XY

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3 months 2022-02-05T14:39:41+00:00 1 Answer 0 views 0

4 units

Step-by-step explanation:

Distance formula:

$$\sqrt{(x1 – x2)^{2} + (y1 – y2)^{2} }$$

$$length \: of \: line \: xy \\ = \sqrt{(3 – 3 )^{2} + (1 – ( – 3))^{2} } \\ = \sqrt{(1 + 3)^{2} } \\ \ = \sqrt{4^{2} } \\ = 4 \: units$$

Or since both coordinates lie at x=3, the line is a vertical line so you can simply count the increase in y to find the distance of the line.

1-(-3)= 4 units