Question

If y = 3x+b intersects y= mx +3 at (2, 3), find the value of b and m.

Answer 1

b = -3

m = 0

Explanation:

y=mx+b

3 is the constant

Answer 2

The value of b is -3 and m is 0.

Explanation:

You have to substitute the coordinates into both equation in order to find m and b value :

Find m,

`y = mx + 3`

At (2,3),

`3 = m(2) + 3`

`3 - 3 = 2m`

`2m = 0`

`m = 0`

Find b,

`y = 3x + b`

At (2,3),

`3 = 3(2) + b`

`b + 6 = 3`

`b = 3 - 6`

`b = - 3`