How do I find the distance between (-9,3) and (-1,-5)
By using the Pythagorean theorem. The line between the two points is the hypotenuse of a triangle with perpendicular side lengths of 8 in the x direction and 8 in the y direction. The 8's come from the differences in x and y coordinates of the two points.
Plotting the points on a graph should be helpful to you for visualizing what is going on.
So Distance = sqrt[(8)^2 + (8)^2]
That can be reduced to 8 sqrt 2
(-3,-10)and(7-8)
To find the distance between (-9,3) and (-1,-5), we can use the distance formula derived from the Pythagorean theorem. The distance formula is:
Distance = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, (x1, y1) = (-9, 3) and (x2, y2) = (-1, -5). Plugging these values into the distance formula, we get:
Distance = sqrt[(-1 - (-9))^2 + (-5 - 3)^2]
= sqrt[(-1 + 9)^2 + (-5 - 3)^2]
= sqrt[8^2 + (-8)^2]
= sqrt[64 + 64]
= sqrt(128)
= 8√2
So the distance between (-9,3) and (-1,-5) is 8√2 units.