SOLUTION: Find the value of k so that the line 5x+ky=9 passes through the point P(-2,4).

Algebra ->  Linear-equations -> SOLUTION: Find the value of k so that the line 5x+ky=9 passes through the point P(-2,4).       Log On


   

Question 1151068: Find the value of k so that the line 5x+ky=9 passes through the point P(-2,4).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5x+ky=9
5(-2)+k(4)=9 ... plug in (x,y) = (-2,4)
-10+4k = 9
-10+4k+10 = 9+10 ... add 10 to both sides
4k = 19
4k/4 = 19/4 ... divide both sides by 4
k = 19/4
k = 4.75

So k = 19/4 in fraction form, which is equivalent to k = 4.75 in decimal form.