Respuesta :

The slope-intercept form: y = mx + b

m - the slope
b - the y-intercept

m = -2; (0; 3) → b = 3

subtitute

y = -2x + 3

Answer: [tex] 2x+y-3=0[/tex]

Step-by-step explanation:

The equation of a line passing from points (a,b) and has slope m is given by :-

[tex](y-b)=m(x-a)[/tex]

Given : Slope of a line = -2

Point = (0,3)

Then , the equation of a line passing from points (0,3) and has slope -2 is given by :-

[tex](y-3)=-2(x-0)\\\\\Rightarrow\ y-3=-2x\\\\\Rightarrow\ 2x+y-3=0[/tex]

Hence, the equation of the line : [tex] 2x+y-3=0[/tex]