Question

Help me, please

Answer 1

1. horizontal (left/right distance). notice on the x-axis, point A is at x = 1, and point B is at x = 4. so the horizontal distance is simply the difference of the x-coordinates, or 4 - 1 = 3

2. calculate the vertical distance using the y-coordinates

3.

if we connect the two points like so and make a right triangle, we can see that the horizontal distance and the vertical distance make up the two legs of a right triangle. the distance between the two points is therefore the hypotenuse.

so we can use the pythagorean theorem a^2 + b^2 = c^2, letting a and b be our horizontal and vertical distances, and solve for c, the diagonal distance between the two points