Question 158629
distance between 2 points in coordinate geometry is determined by the formula
{{{z = sqrt((x2-x1)^2+(y2-y2)^2)}}}
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(-5^2+-12^2) = sqrt(25+144) = sqrt(169) = 13}}}
z = 13 is your answer.
a graph of the line z would look like this.
{{{graph(600,600,-4,4,-6,8,12/5*x+.2,7,-5)}}}