Respuesta :

Given a line passes through the point (-4,6) and has a slope of 3

We will write the equation of the line in point-slope from

The formula of the point-slope form will be as follows:

[tex]y-k=m(x-h)[/tex]

Where (h, k) is the point that lies on the line and (m) is the slope

From the given:

m = 3

h = -4

k = 6

Substitute into the formula

so, the answer will be:

[tex]y-6=3(x+4)[/tex]