Answer:
[tex]y = \frac{1}{3}x-4[/tex]
Step-by-step explanation:
Step 1: Solve for y in the first equation
[tex]3y - x = -12[/tex]
[tex]3y - x + x = -12 + x[/tex]
[tex]\frac{3y}{3} = \frac{x}{3} - \frac{12}{3}[/tex]
[tex]y = \frac{1}{3}x - 4[/tex]
Step 2: Determine the important aspects
We know that our line is parallel to the other line that has a slope of 1/3 which means that our slope is also going to be 1/3. We also know that our line crosses the point (18, 2) which means that we can use the point slope form to determine our equation
Point Slope Form → [tex](y-y_1) = m(x - x_1)[/tex]
Step 3: Plug in the information and solve
[tex](y-2) = \frac{1}{3}(x - 18)[/tex]
[tex]y - 2 = \frac{1}{3}x - 6[/tex]
[tex]y - 2 + 2 = \frac{1}{3}x - 6 + 2[/tex]
[tex]y = \frac{1}{3}x-4[/tex]
Answer: [tex]y = \frac{1}{3}x-4[/tex]
