SOLUTION: Find the equation of the line. Write the equation of the line in standard form. Through (4, -9); parallel to the line 5x + 9y=4

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line. Write the equation of the line in standard form. Through (4, -9); parallel to the line 5x + 9y=4      Log On


   

Question 1099364: Find the equation of the line. Write the equation of the line in standard form.
Through (4, -9); parallel to the line 5x + 9y=4
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Line in standard form passing through point (p,v) and parallel to line Ax+By=C



Ax%2BBy=A%2Ap%2BB%2Av

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

Every line parallel to the graph of 5x+9y=4 will have an equation of the general form 5x+9y=k, where k is some constant.

To find the line of that form that passes through the particular point (4,-9), simply plug those x and y values into the general form of the equation to find the value of k:

5x%2B9y=k
5%284%29%2B9%28-9%29+=+20-81+=+-61

The line you are looking for has equation 5x+9y = -61.