Equation of the line with slope -1/2 passing through the point (-1,-4) is x + 2y = -9
Given,
the slope of the line = -1/2
the line passes through the point (-1,-4)
=> s = -1 and t = -4
The equation of the line can be found using the following equation:
( y - t ) = slope ( x - s )
Substituting the values in the equation, we get
=> y + 4 = - 1/2 * ( x + 1 )
=> x + 2y = -1 - 8
=> x + 2y = -9
Therefore, by using the formula for equation of line, we get the equation of the line with slope -1/2 passing through the point (-1,-4) as x + 2y = -9
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