You want to take 10 lessons at a swim club. You can pay a membership fee of $20 plus a fee per lesson. You can also decide no to pay a membership fee. In that case, the fee per lesson is $3 more. Is there any lesson fee for which these two plans cost the same?

x = 1

Step-by-step explanation:

Plan A: 20 + 10x

Where, x = fee per lesson

Plan B: $3 × 10 lessons = $30

Equate plan A and plan B

Plan A = Plan B

20 + 10x = 30

10x = 30 - 20

10x = 10

x = 10/10

= 1

x = 1

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c