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Sagot :
[tex]y=-\frac{x}{4}-3[/tex]
Explanation
Step 1
when two lines are parallel, their slopes are the same
[tex]\text{if m}_1=m_2\rightarrow the\text{ lines are parallel}[/tex]find m1
[tex]\begin{gathered} y=\frac{-1}{4}x+2\rightarrow y=mx+b \\ m_1=\frac{-1}{4} \\ \\ \text{Hence} \\ m_2=-\frac{1}{4} \end{gathered}[/tex]Step 2
using P1(32,-11) and slope = -1/4 find the equation
[tex]\begin{gathered} y-y_1=m(x-x_0) \\ y+11=-\frac{1}{4}(x-32) \\ y=-\frac{x}{4}+\frac{32}{4}-11 \\ y=-\frac{x}{4}+8-11 \\ y=-\frac{x}{4}-3 \end{gathered}[/tex]I hope this helps you
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