Question

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Answer 1

3rd option

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 =
`\frac{y_(2)-y_(1) }{x_{2-x_(1) } }`

with (x₁, y₁ ) = (- 4, - 1 ) and (x₂, y₂ ) = (5, 7 )

m =
`(7-(-1))/(5-(-4))` =
`(7+1)/(5+4)` =
`(8)/(9)`

using (a, b ) = (- 4, - 1 ) then

y - (- 1) =
`(8)/(9)` (x - (- 4) ) , that is

y + 1 =
`(8)/(9)` (x + 4)