So remember that the distance formula is [tex] \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex] .
1.
[tex] \sqrt{(4-4)^2+(-2-(-5))^2}\\ \sqrt{0^2+3^2}\\ \sqrt{0+9}\\ \sqrt{9}\\ 3 [/tex]
Distance between (4,-5) and (4,-2) is 3 units.
2.
[tex] \sqrt{(1-(-1))^2+(1-4)^2}\\ \sqrt{2^2+(-3)^2}\\ \sqrt{4+9}\\ \sqrt{13} [/tex]
Distance between (1,1) and (-1,4) is √13 (or 3.61 rounded to the hundreths) units.