17. The coordinates of the point where line (x/a) + (y/b) = 7 intersects y-axis is :
Answers
Answer:
0,7b
Step-by-step explanation:
on y axis x is 0
so
0/a+y/b=7
y=7b
0,7b
( 0 , 7b) is the point where line x/a + y/b =7 intersects y-axis
Given : line x/a + y/b =7
To Find : The coordinates of the point where line x/a + y/b =7 intersects y-axis
a) a,0
b) 0,b
c) 0,7b
d) 2a,0
Solution:
line x/a + y/b =7
Dividing both sides by 7
=> x/7a + y/7b = 1
x intercept = 7a
y intercept = 7b
intersection point of y axis is called y intercept
Hence y intercept = ( 0 , 7b)
Hence ( 0 , 7b) is the point where line x/a + y/b =7 intersects y-axis
Another method :
line x/a + y/b =7
on y axis x coordinate is 0
substitute x=0
=> 0/a + y/b = 7
=> y = 7b
Hence ( 0 , 7b) is the point where line x/a + y/b =7 intersects y-axis
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