Question
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.)
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.)
Answers
GPT 3.5
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.
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.