Consider the line y=-7x+7
Find the equation of the line that is parallel to this line and passes through the point (2, 5)
Find the equation of the line that is perpendicular to this line and passes through the point (2, 5)

y = -7x + 19 parallel

7y = x + 33 perpendicular

Step-by-step explanation:

Parallel line:

y = -7x + c

5 = -7(2) + c

c = 19

y = -7x + 19

Perpendicular line:

y = (1/7)x + c

5 = (1/7)(2) + c

c = 5 - 2/7 = 33/7

y = (1/7)x + (33/7)

7y = x + 33

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)