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, (-5, -3)
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 given the slope and a point, we can use the point-slope form of the equation:
y - y1 = m(x - x1),
where m is the given slope and (x1, y1) is the given point.
In this case, the given slope is -2 and the given point is (-5, -3).
Plugging in the values into the point-slope form equation, we have:
y - (-3) = -2(x - (-5)).
Simplifying:
y + 3 = -2(x + 5).
Expanding the equation:
y + 3 = -2x - 10.
Rearranging the equation in the form Ax + By = C:
2x + y = -13.
The equation of the line is 2x + y = -13.