Question

What is the length of AB?
12 units
10 units
6 units
14 units

Answer 1

10 units

Explanation:

From the graph,

Coordinates of A = (-7,-6)

Coordinates of B = (1,0)

Distance between two coordinates is given by the formula,

`= > \sqrt{( {x_(2)-x_(1)}^(2) ) + ( {y_(2)-y_(1)}^(2) )}`

Let A(-7,-6) = (x1 , y1)

B(1,0) = (x2 , y2)

=> AB = √[( 1 - (-7))² + ( 0 - (-6))²]

=> AB = √ 8² + 6² = √ 64 + 36 = √100

=> AB = 10 units