Step-by-step explanation:
3(x+4) ≤ 36
3x + 12 ≤ 36
3x ≤ 24
x ≤ 8
You are trying to said 90*90=8,100
(3,59)(5,87)
slope = (87 - 59) / (5 - 3) = 28/2 = 14 <== ur slope
y = mx + b
slope(m) = 14
use either of ur points...(3,59)...x = 3 and y = 59
now we sub and find b, the y int
59 = 14(3) + b
59 = 42 + b
59 - 42 = b
17 = b <=== ur y int (0,17)
Answer: Check out the filled out chart below.
Row 1: 1/4, 1/4, -4
Row 2: -2, -2, 1/2
Row 3: 3, 3, -1/3
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Explanation:
Parallel lines have equal slopes. So if the original line has slope 1/4, then any parallel line will also have slope 1/4. The only thing different is the y intercept.
Perpendicular slopes multiply to -1 assuming neither line is vertical. For row 1, the perpendicular slope is -4 which multiplies with the original slope 1/4 to get -1.
Put another way, the perpendicular slope is the negative reciprocal of the original slope. For row 2, the perpendicular slope is 1/2 because we flip the fraction and the sign for the original slope -2 = -2/1