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
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]