To set up the distance formula between two points \( L(x_1, y_1) \) and \( M(x_2, y_2) \), you can use the formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
In this case, point \( L \) has coordinates \( (4, 2) \) and point \( M \) has coordinates \( (7, 6) \). Therefore:
- \( x_1 = 4 \)
- \( y_1 = 2 \)
- \( x_2 = 7 \)
- \( y_2 = 6 \)
Now, substituting these values into the distance formula gives us:
\[ d = \sqrt{(7 - 4)^2 + (6 - 2)^2} \]
This can be simplified as follows:
\[ d = \sqrt{(3)^2 + (4)^2} \] \[ d = \sqrt{9 + 16} \] \[ d = \sqrt{25} \] \[ d = 5 \]
So, the correct way for DaQuan to set up the distance formula is:
\[ d = \sqrt{(7 - 4)^2 + (6 - 2)^2} \]
And the distance \( d \) between points \( L \) and \( M \) is \( 5 \).
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