Question

Write a linear equation with the given information.Passing through (32, -11) and parallel toY=-1/4x+2

Answer 1

`y=-(x)/(4)-3`

Step-by-step explanation

Step 1

when two lines are parallel, their slopes are the same

`\text{if m}_1=m_2\rightarrow the\text{ lines are parallel}`

find m1

`\begin{gathered} y=(-1)/(4)x+2\rightarrow y=mx+b \\ m_1=(-1)/(4) \\ \\ \text{Hence} \\ m_2=-(1)/(4) \end{gathered}`

Step 2

using P1(32,-11) and slope = -1/4 find the equation

`\begin{gathered} y-y_1=m(x-x_0) \\ y+11=-(1)/(4)(x-32) \\ y=-(x)/(4)+(32)/(4)-11 \\ y=-(x)/(4)+8-11 \\ y=-(x)/(4)-3 \end{gathered}`

I hope this helps you