Question

use the graph to determine the length of segment lh. enter the coordinates of the two given points and then calculate the distance between them. coordinates $(x_1,y_1)$ of point l: $(-4,-9)$ coordinates $(x_2,y_2)$ of point h: $(-4,-5)$ $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ $d = \sqrt{(0)^2+(4)^2}$ $d = $ the length of segment lh is inches

Explanation:

Step1: Substitute values into formula

Given \(x_1=-4,y_1 = - 9,x_2=-4,y_2=-5\), substitute into \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).
\(x_2 - x_1=-4-(-4)=0\), \(y_2 - y_1=-5-(-9)=4\). So \(d=\sqrt{(0)^2+(4)^2}\).

Step2: Calculate the distance

According to the formula \(d=\sqrt{a^2 + b^2}\) (here \(a = 0\), \(b = 4\)), \(d=\sqrt{0 + 16}\).
Since \(\sqrt{16}=4\).

Answer:

The length of segment \(LH\) is \(4\) inches.