The distance between two points E and F is 13 units.
According to the question,
We have the following two points:
E(9,-1) and F(-3,4)
We can easily find the distance between two points using the distance formula:
Distance between E and F =√ [tex]{(x2-x1)^{2}}+ (y2-y1)^{2}[/tex]
(Note that the square root is on both the brackets.)
We have the following values:
x1 = 9 and y1 = -1
x2 = -3 and y2 = 4
Distance = √[tex]{(-3-9)^{2}}+ (4-(-1))^{2}[/tex]
Distance between two points = √[tex](-12)^{2} + (5)^{2}[/tex]
Distance between two points = √144+25
Distance between two points = √169
Distance between two points = 13 units
Hence, the distance between two points E(9,-1) and F(-3,4) is 13 units.
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