Given m = -1 and the point (-5, 2), which of the following is the point-slope form of the equation?

Question

y - 2 = -(x + 5)


y + 2 = (x + 5)


y + 2 = -(x - 5)


y - 2 = -(x - 5)

Answer 1

point -slope form :

(y-y₁) = m(x-x₁)

 

Given, slope = m = -1

point = (x_1,y₁) = (-5,2)

x_{1 =} -5  , y₁ = 2, m=-1

Substitute the above values in the point-slope equation

(y-2) = -1(x-(-5))

=> y-2 = -(x+5)

 

Option 1 is the right answer.