SOLUTION: write an equation of a line that contains the given point and is perpendicular to the given line 2x + 4y = -7 ; (-3, -2)

Question 119073: write an equation of a line that contains the given point and is perpendicular to the given line
2x + 4y = -7 ; (-3, -2)

Answer by chitra(359) (Show Source): You can put this solution on YOUR website!
The given equation is: 2x + 4y = - 7 and the point is (-3, -2)

any line perpendicular to this line will have the inverse slope of this line.

that is the slope of this line is:

so slope of the line perpendicular to the given line is 2. and passing through
(-3,-2)
so the eqn of the line is given by:

y = mx + c

-2 = (2)(-3) + c

==> -2 = -6 + c

==> -2 + 6 = c

==> 4 = c

therefore, the equation of the line is given by

y = 2x + 4

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