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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9).
Solution:
The standard equation of a straight line is Ax + By + C = 0.
Equation of the line is (y - y1) = [(y2 - y1) / (x2 - x1)] (x - x1) ------(1)
Given that line passes through (-5, 0) and (0, -9)
∴ Substituting (x1, y1) = (-5, 0) and (x2, y2) = (0, -9) in equation (1),
(y - y1) = [(y2 - y1) / (x2 - x1)] (x - x1)
(y - 0) = [(-9 - 0) / (0 - (-5)] [x -(-5)]
y = (-9 / 5) (x + 5)
5y = -9x - 45
9x + 4y + 45 = 0
This is the required equation of the line which is in the general form.
Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9).
Summary:
The standard form of the equation of the line that passes through (-5,0) and (0,-9) is 9x + 4y + 45 = 0.
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