Question

On a coordinate plane, a line is drawn between points (negative 4, negative 3) and (negative 1, 4).

Use the Pythagorean theorem to find the distance on the coordinate plane.


a2 + b2 = c2


What is the distance between the two points?

StartRoot 20 EndRoot

StartRoot 40 EndRoot

StartRoot 45 EndRoot

StartRoot 58 EndRoot

Answer 1

D. 58

Explanation:

Answer 2

StartRoot 58 EndRoot

Explanation:

Given the coordinates (-4, -3) and (-1, 4)

To get the distance between the two points, we will use the formula:

D =√(y2-y1)²+(x2-x1)²

From the coordinates, x1 = -4, y1 = -3, x2 = -1 and y2 = 4

Substitute

D =√(4-(-3))²+(-1-(-4))²

D = √(4+3)²+(-1+4)²

D = √7²+3²

D = √49+9

D = √58

Hence the correct option is D

StartRoot 58 EndRoot