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=-4, (-6, -3)
To find the equation of a line with a given slope that passes through a given point, we can use the point-slope form of a linear equation, which is:
y - y₁ = m(x - x₁)
Where m is the slope and (x₁, y₁) are the coordinates of the given point.
In this case, the slope is -4 and the given point is (-6, -3).
Substituting these values into the point-slope form of the equation, we get:
y - (-3) = -4(x - (-6))
Simplifying, we have:
y + 3 = -4(x + 6)
Now, to write the equation in the form Ax + By = C, we can distribute the -4 on the right side of the equation:
y + 3 = -4x - 24
And rearranging terms:
4x + y = -27
So, the equation in the form Ax + By = C is 4x + y = -27.