Question

I need some help please

Answer 1

y + 21 = - 4(x - 7)

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 ) = (7, - 21 ) and (x₂, y₂ ) = (- 4, 23 )

m =
`(23-(-21))/(-4-7)` =
`(23+21)/(-11)` =
`(44)/(-11)` = - 4

using (a, b ) = (7, - 21 ) , then

y - (- 21) = - 4(x - 7) , that is

y + 21 = - 4(x - 7)