Step-by-step explanation:
The standard form for a line is Ax+By=C
First, we need to find the slope, or change in y over change in x. For the first one, this is
[tex]\frac{6-(-2)}{2-2}[/tex], which is impossible to find as we cannot divide by 0, meaning that this is constant horizontally -- in this case, x=2. Thus, we have 1*x+0*y=2.
For the second one, we can find the slope by getting
[tex]\frac{0-4}{3-(-3)} =\frac{-4}{6 } = \frac{-2}{3}[/tex]. We can then take the point (3,0) (it can be any point on the line) and get our equation to be y-0 = (-2/3) (x-3). Converting this to standard form, we can expand this to get
y= (-2/3)*x +2
(-2/3)*x+1*y = 2
