Answer:

Step-by-step explanation:
Method #1
We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:





* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
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Method #2
We can use the Distance Formula:
![\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E%7B2%7D%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E%7B2%7D%7D%20%3D%20D)
<em>N</em>[−3, 2] <em>M</em>[−6, 0]
![\sqrt{[3 - 6]^{2} + [0 + 2]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B3%20-%206%5D%5E%7B2%7D%20%2B%20%5B0%20%2B%202%5D%5E%7B2%7D%7D%20%3D%20D)
![\sqrt{[-3]^{2} + 2^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-3%5D%5E%7B2%7D%20%2B%202%5E%7B2%7D%7D%20%3D%20D)


* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
** You see? It does not matter which method you choose, as long as you are doing the work correctly.
I am delighted to assist you anytime.
Since these are similar triangles you can use any two corresponding sides to figure out the scale factor.
Use the bottom side. Going from the first triangle to the second the scale factor is:
15/9 = 5/3
y - y₁ = m(x - x₁)
y - (-3) = ¹/₂(x - (-4))
y + 3 = ¹/₂(x + 4)
y + 3 = ¹/₂(x) + ¹/₂(4)
y + 3 = ¹/₂x + 2
- 3 - 3
y = ¹/₂x - 1