Question

What value of b will make the system 7=2x+7 and y=2.5x+b intereect at the point (-6, -5)

Answer 1

The value of b for the intersection of two lines at given points is 4

Explanation:

Given as :

The two line equations are

y = 2 x + 7 ..........A

And

y = 2.5 x + b ............B

Since, The two lines are intersecting at point
`x , y` = - 6 , - 5

Now Solving equation A and B we get

2 x + 7 = 2.5 x + b

Or, 7 - b = 2.5 x - 2 x

Or, 7 - b = . 5 x

∵ intersecting points are x , y = - 6 , - 5

putting the value of y from points

i.e 7 - b = . 5 × ( - 6 )

Or, 7 - b = 3

Or, b = 7 - 3

∴ b = 4

So, The value of b = 4

Hence, The value of b for the intersection of two lines at given points is 4 Answer