Question

Which of the following equationa apply to line below

a- y=-4x-6
b -y-2=-4(x+2)
c-y+3=-4(x+6)
d-Y-6=-4(x+3)​

Answer 1

1+1=magelan

2plus2 lapulapu

Answer 2

b and d

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

m is the slope and (a, b) a point on the line

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 3, 6) and (x₂, y₂ ) = (- 2, 2) ← 2 points on the line

m =
`(2-6)/(-2+3)` = - 4

Using (a, b ) = (- 3, 6 ), then

y - 6 = - 4(x - (- 3)), that is

y - 6 = - 4(x + 3) → d

Using (a, b ) = (- 2, 2 ), then

y - 2 = - 4(x - (- 2)) , that is

y - 2 = - 4(x + 2) →b