exam Maths Puzzle Numerical Ability

Find an equation of a line passing through (-1,1) and perpendicular to the line whose equation is given by 3x-2y=1.

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exam Other Question

How do obtain the answer to this problem? Let X represent the number and then write the expression for the product.
The square of 5 more then a number. Which of the following pair of points is indicative of a zero per the Intermediate Value Theorem?

a. (0,0) and (2,-3)
b. (-2,-3) and (2,3)
c. (2,0) and (0,-3)
d. (3,-4) and (-6,12)