Answer:
7.2 units
Step-by-step explanation:
Hello, and welcome to Brainly!
You are sometimes offered to find the distances between two points on a graph. But how are we to do this you ask?
The distance formula measures the distance in units from point A to point B. The formula is d=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where Point A is depicted as [tex](x_1, y_1)[/tex] and Point B is depicted as [tex](x_2, y_2)[/tex].
To start this problem, let's label a random point as A, and the other as B.
A: (-9, 3) where [tex]x_1=-9, y_1=3[/tex]
B: (-7, -4) where [tex]x_2=-7, y_2=-4[/tex]
Let's use the distance formula to solve this distance. Fill in the known variables.
d=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
d=[tex]\sqrt{(-7--9)^2+(-4-3)^2}[/tex]
[tex]d=\sqrt{(2)^2+(-7)^2}[/tex] Note that (-7--9) cancels out the two negatives and turns into (-7+9), which is 2.
[tex]d=\sqrt{4+49} \\d=\sqrt{53} \\d=7.2[/tex]
The distance between these two points is 7.2 units.
