Y = 3x - 3. The slope here is 3. A perpendicular line will have a negative reciprocal slope. This can be found by " flipping " the slope and changing the sign......3 or 3/1...." flip " ...becomes 1/3...change the sign...becomes -1/3. So ur perpendicular line will need a slope of -1/3.
y = mx + b slope(m) = -1/3 (-7,9)...x = -7 and y = 9 now we sub and find b, the y int 9 = -1/3(-7) + b 9 = 7/3 + b 9 - 7/3 = b 27/3 - 7/3 = b 20/3 = b
so ur perpendicular line containing the brace is : y = -1/3x + 20/3
Part A: Max volume = Volume of container = 13 in x 7 in x 6 in = 546 in^3 Part B: 1 cup = 14.4375 in^3 14 cups = 14.4375 in^3 x 7 = 202.125 in^3 Part C: Height of water = (202.125 in^3)/(13 in x 7 in) = 2.22 in.