HELP NEEDED!
This is a benchmark only answer if you can fully answer it

Step-by-step explanation:

So what you have here is a table that would represent the equation for a graph. You will later learn this as SLOPE (rate of change).

Basically you need to figure out how much y changes for every 1 unit of x. You will use the formula y=mx+b. (m is the rate of change and b is the y intercept (that's what y is when x is equal to 0)) For this problem you are already given the y intercept of 5. So far we have the equation y=mx+5.

Now, here comes actual math. When x goes from 0 to 2, y increases 6 (5+6=11). This means that for every 2 of x, y goes up by 6. But were not done. We have to find out what happens when x goes up by 1, not 2. To do this you just do the simple math of 6/2=3. Your slope/rate of change is 3.

Alrighty ALMOST DONE! Now just plug everything into your y=mx+b equation.

Your y intercept was 5 so you have y=mx+5 and now you have your slope of 3 so your very final answer should be y=3x+5. [I included a graph to show what your line would look like :)   ]

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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