Question

Through: (-4,4), perp. To y=4/5x-1

Answer 1

THe slope of the graph which is given is m=4/5. The slope of the line perpendicular to this line will have a slope

`m_(0) = (-1)/(m)`

`m_(0) = -1 / (4)/(5) = - (5)/(4)`
Use the point-slope equation to write an equation of the line perpendicular to given:

`y - y_(0) = m(x- x_(0) )`
We have a point (-4, 4). Plug in instead of
`x_(0) , y_(0)`:

`y - 4 = - (5)/(4) (x+4) \\ y = - (5)/(4) x -1`
This is the final equation.