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 = - 7; (- 6, - 5)
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.)
The equation of the line with slope -7 passing through the point (-6, -5) can be found using the point-slope form of a linear equation, which is y - y1 = m(x - x1).
Plugging in the given point (-6, -5) and the slope -7:
y - (-5) = -7(x - (-6))
y + 5 = -7(x + 6)
Expanding the equation:
y + 5 = -7x - 42
Rewriting in the form Ax + By = C:
7x + y + 47 = 0
Thus, the equation of the line in the form Ax + By = C, with slope -7 and passing through the point (-6, -5), is 7x + y + 47 = 0.