Question

1. Write an equation in point-slope form for the line through the given point with the given slope.

(4.-2); m=-1/2
y+2 = -1/2 = x- 4)
y+2 =(- 1/2)x-4
y +2 = -1/2(x + 4)
y - 2 = -1/2(x-4)

Answer 1

Answer: y + 2 =
`(-1)/(2)` ( x - 4 )

Explanation:

The equation of a line in point - slope form is given as ;

y -
`y_(1)` = m (x -
`x_(1)`)

`x_(1)` = 4

`y_(1)` = -2

m =
`(-1)/(2)`

Substitute the values into the equation , we have

y - (-2) =
`(-1)/(2)`( x - 4 )

y + 2 =
`(-1)/(2)` ( x - 4 )

Which could be written as :

y + 2 = y + 2 =
`(-1)/(2)` x + 2