Answer:
Remember, the plot of the point (a,b) in the coordinate plane correspond to the point with a value of a in the x axis and a value of b in the y-axis.
The distance between two points (a,b), (c,d) is:
[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]
Then, the distance between (-3,4) and (4,4) is
[tex]d=\sqrt{(4-(-3))^2+(4-4)^2}=\sqrt{7^2}=7[/tex]
The image below show the points in the coordinate plane.