Question

Help me please I just don’t get it ‍♀️

Answer 1

`\large\boxed{1.\ the\ slope\ is\ (1)/(4)}\\\boxed{2.\ y=3x-5}\\\boxed{3.\ (3, 6)}`

Explanation:

`\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-(1)/(m_2)\\\\l\ \parallel\ k\iff m_1=m_2\\\\m-slope\\b-y-intercept\to(0,\ b)\\\\1.\\\\y=-4x+1\to m_1=-4\\\\m_2=-(1)/(-4)=(1)/(4)`

`2.\\y=3x+2\to m_1=3\\\\m_2=3,\ b=-5\\\\y=3x-5`

`\text{Calculate}\ a\ \text{and}\ b:\\\\a=(6-(-9))/(5)=(15)/(5)=3\\\\b=(8-(-2))/(5)=(10)/(5)=2\\\\\text{Calculate the coordinates of a point:}\\\\x=-9+4a\to x=-9+4(3)=-9+12=3\\\\y=-2+4b\to y=-2+4(2)=-2+8=6`