exam Maths Puzzle Numerical Ability

What is the definition of Difference Quotient and how do you arrive at an answer when you have f(x)=x^2+3x and DO= ((f(x+h)-f(x))/h

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exam Other Question

Could I get your assistance in solving the three function problems below:

1)y = sqrt x-1
1b) is this a function or not?

2)y = 2x-3 Please show me in simple terms how to solve this. Find the equation, in slope-intercept form, of the line that passes through the points (5, 6) and (-7, 3).

Thanks