Question

use the graph to determine the length of segment gm. enter the coordinates of the two given points and then calculate the distance between them. coordinates (x1, y1) of point g: (?,?) coordinates (x2, y2) of point m: (?,?) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{( )^2+( )^2} d = the length of segment gm is centimeters

Explanation:

Step1: Identify point G coordinates

By observing the graph, the coordinates of point G are $(-2,-7)$. So $x_1=-2$, $y_1 = - 7$.

Step2: Identify point M coordinates

By observing the graph, the coordinates of point M are $(-4,-1)$. So $x_2=-4$, $y_2=-1$.

Step3: Apply distance formula

The distance formula is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute $x_1=-2,y_1=-7,x_2=-4,y_2 = - 1$ into it:

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Answer:

$2\sqrt{10}\approx6.32$