In order to find the answer to this question, you will need to set up a right triangle and solve the hypotenuse-leg equation. L[tex] L_{1}^2 + L_{2} [/tex]^2 = h^2.
If you look on a graph, you will see that the right triangle that the two coordinates create has a leg length of 7 and a leg length of 4. Plug these into the equation for L1 and L2 to find h:
7^2 + 4^2 = h^2
49 + 16 = h^2
65 = h^2
h = [tex]\sqrt{65} [/tex]
Since the hypotenuse of the right triangle is a straight line that connects the two coordinates together, finding it would mean you have found the exact distance between the points.
Your answer is in exact form: [tex]\sqrt{65} [/tex]
