SOLUTION: find the value of k such that the graph of 4x=k-3y has a y-intercept of (0, -8)

Algebra ->  Linear-equations -> SOLUTION: find the value of k such that the graph of 4x=k-3y has a y-intercept of (0, -8)      Log On


   



Question 204665: find the value of k such that the graph of 4x=k-3y has a y-intercept of (0, -8)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the value of k in:
4x+=+k-3y if the graph of this equation has a y-intercept of (0, -8)
Since the graph intercepts the y-axis at (0, -8) then these coordinates must satify the given equation, so we'll substitute x = 0 and y = -8 and solve for k.
4%280%29+=+k-3%28-8%29
0+=+k-%28-24%29
0+=+k%2B24 Subtract 24 from both sides.
highlight%28k+=+-24%29
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28-4%2F3%29x-8%29