You are given the y-interecept -2 which is also written as (0, -2)
Because we know the slope and a point we can use the point-slope formula to write and equation for the line. The point-slope formula states: (y−y1) = m(x−x1)
Where m is the slope and (x1,y1) is a point the line passes through.
Substituting the slope and the values from the point in the problem gives:
(y−−2)=3(x−0)
(y+2)=3(x−0)
The slope-intercept form of a linear equation is: y=mx+b
y+2=(3∗x)+(3∗0)
y+2=3x+0
y+2−2=3x+0−2
y=3x−2
Then write it in standard form:
y=3x−2
y+2=3x−2+2
y+2=3x
y+2−y=3x−y
2=3x−y
Your standard form is 2
Thanks Ik the slope intercept form but I don't know how i would put it in standard form. I need standard form