suatu garis melalui titik (2,-3p) dan (-2p,5) jika gradien garis tersebut negative 1/2 maka nilai p adalah

Garis

Gradien (m) garis yg melalui 2 titik, (x1,y1) dan (x2,y2) :

m = ∆y/∆x
m = (y2 - y1)/(x2 - x1)

••
(x1,y1) = (2,-3p)
(x2,y2) = -2p,5)

m = -1/2
(5 - (-3p))/(-2p - 2) = -1/2
Kalikan silang
2(5 + 3p) = -(-2p - 2)
6p + 10 = 2p + 2
6p - 2p = -10 + 2
4p = -8
p = -2 ✔