SOLUTION: Please help me solve this problem: Find a real number, k, such that the line 8x+ky−15=0 has y-intercept 9. k=_____

Algebra ->  Linear-equations -> SOLUTION: Please help me solve this problem: Find a real number, k, such that the line 8x+ky−15=0 has y-intercept 9. k=_____      Log On


   

Question 913972: Please help me solve this problem:
Find a real number, k, such that the line 8x+ky−15=0 has y-intercept 9. k=_____
Found 2 solutions by MathLover1, mananth:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find a real number, k, such that the line 8x%2Bky-15=0 has y-intercept 9. k=_____

8x%2Bky-15=0 first write it in slope-intercept form
ky=-8x%2B15
y=-%288%2Fk%29x%2B15%2Fk ...slope m=-%288%2Fk%29 and y-intercept b=15%2Fk
if the line 8x%2Bky-15=0 has y-intercept 9, than we know that y-intercept is at (+0+,9)
15%2Fk=9 => highlight%28k=15%2F9%29

so, 8x%2Bky-15=0 will be 8x%2B%2815%2F9%29y-15=0
in slope-intercept form
y=-%288%2F%2815%2F9%29%29x%2B15%2F%2815%2F9%29
y=-%288%2A9%2F15%29x%2B%2815%2A9%29%2F%2815%2F9%29
y=-%288%2Across%289%293%2Fcross%2815%295%29x%2B%28cross%2815%29%2A9%29%2Fcross%2815%29
y=-%2824%2F5%29x%2B9

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

8x+ky-15 =0
y intercept 9
intercept point (0,9)
plug the values
0+9k-15=0
9k=15
k=15/9
k=5/3