Since the Point-Slope Formula is already given to you, convert it to Slope-Intercept Form, and you do that by doing this:
y - 1 = ¼(x - 12) >> y - 1 = ¼x - 3
y - 1 = ¼x - 3
+1+1
--------------
y = ¼x - 2 >> Slope-Intercept Form
After doing this, you are ready to convert to Standard Form, and you do that by doing this:
y = ¼x - 2
-¼x-¼x
-----------
-¼x + y = -2
Now unfortunately, we do not want fractions as our coefficients, so the way to eliminate the fraction is to multiply the equation by the Multiplicative Inverse of -¼, which is -4:
-4[-¼x + y = -2] >> x - 4y = 8 → New equation without fractions
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