Question 894573
If you would plot the two points on a cartesian coordinate system, you could identify (-7,-1) as a third point forming a right triangle, and (-7,-1) is at the right-angle.  The distance from (-7,5) to (1,-1) forma the hypotenuse of this right triangle.  You then can simply use the Pythagorean Theorem.  You know the vertical segment is 6 units and the horizontal segment is 8 units.  these are easily read from the three points on the graph.


If the hypotenuse is d, then
{{{d^2=(-7-1)^2+(5-(-1))^2}}}
{{{d=sqrt((-7-1)^2+(5-(-1))^2)}}}, which conforms to the use of the distance formula.

Just evaluate d.