SOLUTION: determine the distance between the two points (3,7) and (-2,-5)

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Question 158629: determine the distance between the two points (3,7) and (-2,-5)
Found 2 solutions by checkley77, gonzo:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(3,7) (-2,-5)
X DISTANCE=3+2=5 UNITS.
Y DISTANCE=7+5=12 UNITS.
5^2+12^2=D^2
25+144=D62
169=D^2
D=SQRT169
D=13 IS THE DISTANCE BETWEEN THESE POINTS.


Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
distance between 2 points in coordinate geometry is determined by the formula
z+=+sqrt%28%28x2-x1%29%5E2%2B%28y2-y2%29%5E2%29
where y is the straight line distance between the 2 points.
x2-x1 is the horizontal distance between the 2 points along the x-axis.
y2-y1 is the vertical distance between the 2 points along the y-axis.
for the points (3,7) and (-2,-5)
x2-x1 = -2-3 = -5
y2-y1 becomes -5-7 = -12
z=sqrt%28-5%5E2%2B-12%5E2%29+=+sqrt%2825%2B144%29+=+sqrt%28169%29+=+13
z = 13 is your answer.
a graph of the line z would look like this.
graph%28600%2C600%2C-4%2C4%2C-6%2C8%2C12%2F5%2Ax%2B.2%2C7%2C-5%29