Let's write these given equations in their corresponding perpendicular forms. Perpendicular form typically means expressing the lines in the form [tex]\(Ax + By + C = 0\)[/tex] with appropriate coefficients.
1. Equation f): [tex]\(x + y - 2 = 0\)[/tex]
This equation is already in the perpendicular form. We don't need to make any adjustments:
[tex]\[ x + y - 2 = 0 \][/tex]
2. Equation iii): [tex]\(\sqrt{3} x - y - 2 = 0\)[/tex]
This equation is also already in the perpendicular form:
[tex]\[ \sqrt{3} x - y - 2 = 0 \][/tex]
3. Equation ii): [tex]\(x + \sqrt{3} y + 4 = 0\)[/tex]
This equation is in perpendicular form as well:
[tex]\[ x + \sqrt{3} y + 4 = 0 \][/tex]
4. Equation v): [tex]\(\sqrt{3} x + y - 2\sqrt{2} = 0\)[/tex]
This equation is correctly written in its perpendicular form:
[tex]\[ \sqrt{3} x + y - 2\sqrt{2} = 0 \][/tex]
5. Equation iv): [tex]\(-x + \sqrt{3} y + 4 = 0\)[/tex]
This equation is already in the desired form:
[tex]\[ -x + \sqrt{3} y + 4 = 0 \][/tex]
Thus, all the given equations were already expressed in their perpendicular forms.
