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line MN passes through points M(4,3)and N(7,12).if the equation of the line is written in slope-intercept form, y=mx+b,what is the value of b?

Respuesta :

KpoppedbyMyMicrowave

The value of B is -9 hope this helped

Answer:

b=-9

Step-by-step explanation:

Given that line MN passes through two points (4,3) (7,12)

Let us assume that equation of the line be y =mx+b in slope intercept form

Since it passes through (4,3) substitute in the equation to get

[tex]3=4m+b[/tex] ... i

Similarly since the line passes through (7,12)

[tex]12=7m+b ...ii[/tex]

ii-i gives

9 =3m or m =3

Substitute in i

[tex]3=12+b\\b=-9[/tex]