The distance between the two points is 11.3 units.
Given:
[tex](-4,7.8) \\(-4,-3.5)[/tex]
Apply the distance formula given as:
[tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2 }[/tex]
Let,
[tex](-4,7.8) = (x_1, y_1)\\(-4,-3.5) = (x_2, y_2)[/tex]
Plug in the values
[tex]d = \sqrt{(-3.5 -7.8)^2 + (-4 -(-4))^2 }\\[/tex]
[tex]d = \sqrt{(-11.3)^2 + (0)^2 }\\d = \sqrt{127.69} \\d = 11.3[/tex]
Therefore, the distance between the two points in a coordinate plane is 11.3 units.
Learn more about distance on a coordinate plane here:
https://brainly.com/question/11769555