Write an equation for the line passing through the given pair of points. Give the final answer in standard form. (-6,-2) and (1,-4)

Answer 1

m=(y₂-y₁) / (x₂ -x₁)

m=(-4- (-2)) / (1- (-6))

m= -2/7

choose a point (1,-4)

f(x)=mx+b

-4=-2/7*1+b

b=-4+2/7

b=-26/7

f(x)=-2/7x-26/7

Answer 2

Let The equation be

y = mx+b

Passing through (-6,-2) and (1,-4)

Plug in First Point

-2 = m(-6) +b

or -2 = -6m +b ......... Eq 1

Plug in Second point

-4 = m + b ................ Eq 2

Solve these two Equations for m and b

Gives b= -26/7

m= -2/7

So equation is

Y = -2/7 m- 26/7

7Y = -2m -26

Answer 3

Use two-point form

(y + 2) ./ (x + 6) = (-2 + 4) / (-6 + 1)