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

Algebra.Com
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)   (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.

RELATED QUESTIONS

The line 6x-ky=4 passes through the point (3,2). Find the value of... (answered by MathLover1)
If line 3x + ky = 9, passes through the point (1,-2), find... (answered by jim_thompson5910)
determine k so that the line 5x + ky = 32 will pass through the point P(4,... (answered by jim_thompson5910)
Find the value of k so that the point P lies on line L. P(2,1), L: 3x + ky=... (answered by THANApHD)
The line 5x+ky=12 passes through the point (2,-1). Find the value of k. I tried and i... (answered by stanbon)
1. Find an equation of the line that passes through the point (-1, 3) and is parallel to... (answered by robertb)
Find the value of K so that the point P lies on the line L. P(2,1), L; 3x + ky =... (answered by Earlsdon)
Find the value of k so that the graph of y=(x+5)2+k passes through the point... (answered by richwmiller)
if line 2x + ky = 5 passes through the point (-2, 1), find k. This is the... (answered by Fombitz)