Question

Can someone please help me​

Answer 1

y - 24 = - 7(x + 4)

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 ) = (- 4, 24) and (x₂, y₂ ) = (7, - 53)

m =
`(-53-24)/(7+4)` =
`(-77)/(11)` = - 7

Using m = - 7 and (a, b) = (- 4, 24 ) , then

y - 24 = - 7(x - (- 4)), that is

y - 24 = - 7(x + 4)