Respuesta :

this is a line in the form y = mx + b, where b is the y intercept.  In your equation above, 3 is the slope, the m value, and -6 is the y-intercept, the b value.

Answer:

y-intercept of the line is, -6

Step-by-step explanation:

Slope intercept form:

The equation of line is given by:

[tex]y = mx+b[/tex]            ....[1]

where,

m is the slope of the line

b is the y-intercept.

As per the statement:

Given the equation:

[tex]y = 3x-6[/tex]

we can write this as:

[tex]y =3x+(-6)[/tex]

On comparing with [1] we have;

m = 3 and b = -6

Therefore, the y-intercept of the line is, -6