can you help me with math please.

Question

Find an equation of the line that satisfies the given conditions.
Through (1/2, − 2/7) ; perpendicular to the line 6x − 12y = 1

Answer 1

You are given a point and you will also need a slope.  The slope comes from the equation that is perpendicular.

 

1.  Put that line in slope intercept form.  (y= form)

 

      6x - 12y = 1 .................. Subtract 6x from both sides to get -12y = 1 - 6x

 

      -12y = 1 - 6x................ Divide both sides by -12 to get y = -1/12 + (1/2)x

 

       Now you can read that the slope of the line is the coefficient of x....the number that multiplies x.  It's 1/2.

 

       Recall from you lesson that perpendicular lines have opposite reciprocal slopes.  So that means flip the fraction and        change the sign.  The slope for the line you want is -2/1  which equals -2.

 

2.  You were given a point (1/2, -2/7) and you have found the slope.  Can you write the equation now?

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y - (-2/7) = -2 (x - 1/2)    This is the equation, but the form is hard to see because of the fractions.  You will probably be required to put it in some specific form.

 

I hope this helped!