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=-3, (-2,-6)
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.)
To find the equation of a line, we can use the point-slope form which is given by: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the given slope.
Plugging in the values: m = -3, x₁ = -2, and y₁ = -6, we get:
y - (-6) = -3(x - (-2))
y + 6 = -3(x + 2)
Expanding and simplifying, we have:
y + 6 = -3x - 6
y = -3x - 12
To write the equation in the form Ax + By = C, we can rearrange it as follows:
3x + y = -12
So, the equation of the line in the form Ax + By = C is 3x + y = -12.