Find the distance from point Q to point R, if the point Q has coordinates (-3,10) and point R has coordinates (1,7)

The distance is equal to 5

Explanation:

To be able to find the answer you need two things, the distance formula, and the pythagoreans theorem.

The Distance formula is  d= (X2-X1)+(Y2-Y1)

The Pythagoreans theorem is   c^2= A^2 + B^2, or A^2 + B^2 =C^2

Now if we put our coordinates into the formula we get

1. d^2= (1 -(-3))^2 +(7 - 10)^2  (d^2=C^2, d= distance)

2.  ( 1 -(-3) becomes 1+3 because a negative multiplied by a negative equals a positive.)    d^2= (1+3)^2 +(7-10)^2

3. ( simplify the equation in the parentheses )   d^2= (4^2) + (3^2)  

4.  (I squared, or ^2, both 4 and 3 to get this answer)    d^2= 16 + 9    

5. (square root both sides to get rid of d^2)      d= √25      

6. (solve) d= 5