4. In many interesting applications, we need to know what it means by "two curves are orthogonal (perpendicular) to each other." (a) Let's begin with the simplest case: perpendicular lines. It is known that two lines on the plane are perpendicular to each other if either they are the pair of the x-axis and y-axis, or the products of their slopes are equal to ?1. That is, if the two lines are defined by the following equations,

y=m1x+b1, y=m2x+b2, (m1,m2 ?=0), they are perpendicular to each other if m1m2 = ?1

Now, find the equation of the line that is perpendicular to the line defined by y = 2x + 1

4. In many interesting applications= we need to know what it means by \"two curves are orthogonal (perpendicular) to each other,\" (a) (1 mark) Let's begin with the simplest case: perpendicular lines. It is known that two lines on the plane are perpendicular to each other if either they are the pair of the xaxis and yaxis, or the products of their slopes are equal to 1. That is, if the two lines are dened by the following equations, 1:; = my}: + :51: ft} = mgr + b2: (7111,7112 % 0), they are perpendicular to each other if arm-mg = 1 Now, nd the equation of the line that is perpendicular to the line defined by y=2m+l