book Maths Puzzle Numerical Ability

How do i find the slope of the equation and then graph it? This if for my algebra class

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(trying to understand my sons homework do not want him just getting the answers but I am lost )
how can I identify an inconsistent system when solving by subtitution? There are four answers using the quartic equation to this question p(x)=x^5-x^4-13x^3+13x^2+36x-36 has five real roots. One of them is x=1.