Answer:
<h2>x - 4y = 8</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
<em>m</em><em> - slope</em>
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
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We have the points (-4, -3) and (12, 1).
Substitute:
![m=d\frac{1-(-3)}{12-(-4)}=\dfrac{4}{16}=\dfrac{1}{4}](https://tex.z-dn.net/?f=m%3Dd%5Cfrac%7B1-%28-3%29%7D%7B12-%28-4%29%7D%3D%5Cdfrac%7B4%7D%7B16%7D%3D%5Cdfrac%7B1%7D%7B4%7D)
Put the volume of a slope and the coordinates of the point (12, 1) to the equation of a line:
![y-1=\dfrac{1}{4}(x-12)](https://tex.z-dn.net/?f=y-1%3D%5Cdfrac%7B1%7D%7B4%7D%28x-12%29)
The standard formula of an equation of a line:
![Ax+By=C](https://tex.z-dn.net/?f=Ax%2BBy%3DC)
Convert:
<em>multiply both sides by 4</em>
<em>add 4 to both sides</em>
<em>subtract x from both sides</em>
<em>change the signs</em>
![x-4y=8](https://tex.z-dn.net/?f=x-4y%3D8)