The distance between the points (-6,7) and (-1,1) is option (a) about 7 units
What is Distance?
Distance is a numerical measurement of how far apart objects or points are.
What is Coordinate system?
In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Given,
The points (-6,7) and (-1,1)
Distance between the two points = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]
Substitute the values in the equation
[tex]=\sqrt{(-1--6)^{2}+(1-7)^{2} }\\=\sqrt{5^{2}+(-6)^{2} }\\ =\sqrt{25+36}\\ =\sqrt{61}[/tex]
=7.81 units
Hence, the distance between the points (-6,7) and (-1,1) is option (a) about 7 units
Learn more about Distance and Coordinate system here
https://brainly.com/question/4755509
#SPJ2
