Question

On a coordinate plane, a line goes from point (negative 3, negative 2) to (2, 4). The distance between the two points pictured is d = Use the distance formula to find n. d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot n =

Answer 1

the answer {61}

Answer 2

n =

Explanation:

Although the image is not shown, I imagine that what they are asking (n) is the length of the segment that joins both points. If that is the case, we first proceed to identify each of the given points with the general form of coordinate pairs on the plane. For example, we identify:

`(-3,-2) = (x_1,y_1)\\(2,4)=(x_2,y_2)\\`

Now we use the distance formula replacing the general coordinates by the given values as follows:

`d=√((x_2-x_1)^2+(y_2-y_1)^2) \\d=√((2-(-3))^2+(4-(-2))^2)\\d=√(5^2+6^2) \\d=√(25+36) \\d=√(61)`