Answer:
The correct options are 1, 2 and 5.
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex] ..... (1)
where, m is slope and b is y-intercept.
Consider the given equation.
[tex]y=-12x+2[/tex] .... (2)
It is a linear function and graph of a linear function is a straight line. Option 1 is correct.
At x=0,
[tex]y=-12(0)+2=2[/tex]
The line does not pass through the origin. Option 2 is correct.
The line passes through the point (0, 2). Option 3 is incorrect.
On comparing (1) and (2) we get
[tex]m=-12,b=2[/tex]
The slope of the line is -12. Option 4 is incorrect.
The y-intercept of the line is 2. Option 5 is correct.
Therefore, the correct options are 1, 2 and 5.
