Me i will give brainliest i need to answer all of these and explain them

31. The slope of y = 8x - 1 is 8. So a line perp. Would have a slope of -1/8
So to find the equation of the new line, we use
y= mx + b
10 = (-1/8)(4) + b
10 = -1/2 +b
+1/2. +1/2
10 1/2 = b

New Equation: y = (-1/8)x + 10 1/2

32. Negative correlation ( it looks like the data generally is going from top left to bottom right)
33. No correlation
34. Positive correlation (it looks like the data is generally going from bottom left to top right.

1. If it is intersection then it SHOULD be included in both the sets right? Now we know that odd numbers from 1-100 but the second set are multiples of 5 from 50-150! So we mainly need to look for common numbers which are ODD and are a MULTIPLE OF 5 BETWEEN 50 - 100!! So A={51,53,57,59,6199} B={55,60,65,7095} [We stop till 100 because set A has no such element] So what is A ∩ B here? A ∩ B = {All odd numbers and multiples of 5 between 50 - 100}