Question

what is the distance between the points (11, -19) and (-13, -19) in the coordinate plane?
○a. 30 units
○b. 12 units
○c. 24 units

Explanation:

Step1: Identify the distance formula for two - dimensional points

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. In this case, $x_1 = 11,y_1=-19,x_2=-13,y_2 = - 19$.

Step2: Substitute the values into the formula

Since $y_1=y_2=-19$, the formula simplifies to $d=\vert x_2 - x_1\vert$. Substitute $x_1 = 11$ and $x_2=-13$ into $d=\vert x_2 - x_1\vert$, we get $d=\vert-13 - 11\vert$.

Step3: Calculate the absolute - value

$\vert-13 - 11\vert=\vert-24\vert = 24$.

Answer:

C. 24 units