Find the distances between points N (-4) and C (-9)

Find the distance between points N and C using the formula: NC = Cx – Nx, that is, subtract the coordinates of the starting point N from the coordinate of the end point C.

Substitute the coordinates of point N (-4) and point C (-9): NC = -9 – (-4) (since there is a negative sign in front of the parenthesis, when expanding the parentheses, we will change the signs in the parentheses to opposite signs) = -9 + 4 = -5. Since the distance cannot be a negative value, therefore, we apply the concept of the modulus of a number, that is, the modulus of a negative number is equal to the opposite number, therefore | -a | = | a | = a or | -5 | = | 5 | = 5.

Answer: The distance between points N (-4) and C (-9) is 5 units.