find the distance between the points

Question

Find the distance d(A,B) between the points A(-1,0) and B(4,3). I graphed it to be 5, I'm asking to see if my answer is right. thanks for any help given.

Answer 1

Distance between two points is

Now we can solve it from the graph.

Draw the coordinate plane.

Plot the A , B points.

Connect the plotted ponts.

It would be distance between AB.

To form a right angle triangle move right to 5 units then move up to 3 units.

Then plot the point C (4 , 0).

ABC is right angle triangle

From the Pythagoras theorem

AB^2 = BC^2 + CA^2

AB^2 = 3^2 + 5^2

AB^2 = 9 + 25

AB^2 = 34

Apply squre root on each side.

Graph

Your answer 5 is wrong.

Distance (d) = .