exam Maths Puzzle Numerical Ability

How does a person interpret the slope and Y intercept in a real world application?

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Hello and thanks so much for your time.

Find the slope of any line perpendicular to the line through points (0, 5) and (-3, -4).
McGraw Hill 6th edition, 7.2, Problem # 16. Thanks!! For about what value(s) of x does g(x) = k(x) if g(x) = x^3 + 2x^2 and k(x) = x^3 � x^2 + 6?
a. x = � 2.3
b. x ≈ 2.3
c. x ≈ � 1.4
d. x ≈ 1.4