Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.
m = 2, (-6, -4)
The equation of the line in the form Ax + By = C is ___
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
First, we need to use the point-slope formula to find the equation of the line:
y - y₁ = m(x - x₁)
where (x₁, y₁) represents the given point and m represents the slope.
In this case, the given point is (-6, -4) and the slope is 2.
So we have:
y - (-4) = 2(x - (-6))
y + 4 = 2(x + 6)
Now, let's simplify this equation:
y + 4 = 2x + 12
Subtracting 2x from both sides:
-2x + y + 4 = 12
Rearranging the terms:
-2x + y = 8
So, the equation of the line in the form Ax + By = C is -2x + y = 8.