Question

Can someone finish this fast

Answer 1

y + 9 = - 2(x - 9)

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 ) = (9, - 9) and (x₂, y₂ ) = (- 2, 13)

m =
`(13+9)/(-2-9)` =
`(22)/(-11)` = - 2

Using (a, b ) = (9, - 9 ) , then

y - (- 9) = - 2(x - 9) , that is

y + 9 = - 2(x - 9)