Question

Which equation is a point slope form equation for line AB?

O y+2=-2(x - 5)
Oy+6= -23-1)
Oy+1 = -2(2-6)
oy+5= -2(3-2)

Answer 1

option 1

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where 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 ) = A(1, 6) and (x₂, y₂ ) = B(5, - 2)

m =
`(-2-6)/(5-1)` =
`(-8)/(4)` = - 2

Use either of the 2 points for (a, b)

Using (a, b) = (5, - 2) , then

y - (- 2) = - 2(x - 5) , that is

y + 2 = - 2(x - 5)