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, (−4,−9) Question content area bottom
Part 1 The equation of the line in the form Ax+By=C is enter your response here. (Simplify your answer. Use integers or fractions for any numbers in the equation.)
To find the equation of the line, we can use the point-slope form of a linear equation, which is given by:
y - y1 = m(x - x1)
Where (x1, y1) is the given point and m is the slope of the line.
Using the given slope m = -2 and the point (-4, -9), we can substitute these values into the equation:
y - (-9) = -2(x - (-4))
y + 9 = -2(x + 4)
Next, distribute -2 to the terms inside the parentheses:
y + 9 = -2x - 8
Finally, rearrange the equation into the standard form Ax + By = C:
2x + y = -17
Therefore, the equation of the line is 2x + y = -17.