Exam Maths Puzzle Algebra

The position of an object moving in a straight line is given by s(t)=t^2-8t, where s is in the feet and t is the time in seconds the object has been in motion. How long will it take the object to move 11ft.

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Exam Other Question

Can linear equations have decimals for example: x-0.5=0 is this a linear equation. How to know whether two lines are intersecting or not without drawing them on the graph, when we know their start and end points?

Suppose if AB is a line with A(2,1) and B(6,5) and CD is another line with C(3,4) and D(5,2). If we Draw these two lines on the 2D Graph then these two will intersect. But how could i know that these two lines are going to intersect or not without drawing the line on the 2D Plane?

I will be very thankful to you if u can solve my query and suggest me any other links regarding this. Thanks inadvance. Hoping the earliest reply.