Question

Write the equation of the line that passes through (4,-2) and (-4,-4)A) y = 1/4x - 3B) y = 3/4x - 5C) y = - 2D y = - 3/4x + 1

Answer 1

Let:

`\begin{gathered} (x1,y1)=(4,-2) \\ (x2,y2)=(-4,-4) \end{gathered}`

The slope of the line is given by:

`m=(y2-y1)/(x2-x1)=(-4-(-2))/(-4-4)=(-2)/(-8)=(1)/(4)`

Using the point-slope equation:

`\begin{gathered} y-y1=m(x-x1) \\ y+2=(1)/(4)(x-4) \\ y+2=(1)/(4)x-1 \\ y=(1)/(4)x-1-2 \\ y=(1)/(4)x-3 \end{gathered}`

Answer:

A) y = 1/4x - 3