Answer:
[tex]y=-3x-2[/tex]
Step-by-step explanation:
Equation of straight line in slope intercept form is given as
[tex]y=mx+b[/tex]-------- (1)
Here [tex]m=-3[/tex] and [tex](x_1, y_1)=(0, -2)[/tex]
[tex]y-y_1 = m(x-x_1) \\ y+2 = - 3(x-0) \\ y =-3x-2[/tex]----------- (2)
Comparing (1) and (2)
m=-3 and b=-2
Equation (2) is equation of straight line with slope -3 and y-intercept -2 in slope intercept form