exam Maths Puzzle Numerical Ability

How do you write an equation in slope-intercept form of the line satisfying the given conditions.
Passes through (5,4) and (6,-1).

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I'm just beginning to do proofs. How do I even begin? Please explain a systematic method to set up a proof. height. If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t) = -16tē + 32