janicee1
janicee1 janicee1
  • 07-06-2020
  • Mathematics
contestada

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

Respuesta :

CHERLYNnotCHERRY
CHERLYNnotCHERRY CHERLYNnotCHERRY
  • 07-06-2020

Answer:

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

Step-by-step explanation:

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

Find m,

[tex]y = mx + 3[/tex]

At (2,3),

[tex]3 = m(2) + 3[/tex]

[tex]3 - 3 = 2m[/tex]

[tex]2m = 0[/tex]

[tex]m = 0[/tex]

Find b,

[tex]y = 3x + b[/tex]

At (2,3),

[tex]3 = 3(2) + b[/tex]

[tex]b + 6 = 3[/tex]

[tex]b = 3 - 6[/tex]

[tex]b = - 3[/tex]

Answer Link
dhanyaj
dhanyaj dhanyaj
  • 07-06-2020

Answer:

b = -3

m = 0

Step-by-step explanation:

y=mx+b

3 is the constant

Answer Link

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