How to write the appropriate Linear equation?

Question

i am having trouble writing the linear equation when im given the point- slope (-5,8) with m= -4
please help me !!

Answer 1

The point A(x₁,y₁) and the slope m the linear equation is y-y₁=m(x-x₁)

The given point is (-5,8) and slope m = -4

The point slope form line equation is  

y-y₁=m(x-x₁)

y-8 = -4(x-(-5))

y-8 = -4(x+5)

y-8 = -4x-20

Add 8 to each side

y-8+8 = -4x-20+8

y = -4x-12

Subtract y from each side

y-y = -4x-12-y

0 = -4x-y-12

Multiply   each side by negative one

-(0) = -(-4x-y-12)

4x+y+12 = 0

The linear equation is 4x+y+12 = 0.