We have the points (1, -6) , (2, -12)
Find the slope (m)
m = (y₂-y₁) / (x₂-x₁)
Plug in the values.
m = (-12 + 6) / (2 - 1)
Simplify.
m = -6/1
So, our slope is : m = -6
We are looking for our equation in point-slope form.
Point-slope form : y - y₁ = m(x - x₁)
Simply plug in everything.
Our given points : (1, -6) and (2, -12)
y - (-6) = -6(x - 1)
Simplify.
y + 6 = -6x + 6
Subtract 6 from both sides.
y = -6x + 6 - 6
Simplify.
So, y = -6x
Your answer is C) y = -6x
~Hope I helped!~
