dndjd42
contestada

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)

Respuesta :

bayosanuade

Answer: y + 2 = [tex]\frac{-1}{2}[/tex] ( x - 4 )

Step-by-step explanation:

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

y - [tex]y_{1}[/tex] = m (x -  [tex]x_{1}[/tex])

[tex]x_{1}[/tex] = 4

[tex]y_{1}[/tex] = -2

m = [tex]\frac{-1}{2}[/tex]

Substitute the values into the equation , we have

y - (-2) = [tex]\frac{-1}{2}[/tex]( x - 4 )

y + 2 = [tex]\frac{-1}{2}[/tex] ( x - 4 )

Which could be written as :

y + 2 = y + 2 = [tex]\frac{-1}{2}[/tex] x + 2