PLEASE HELP! Determine the slope and the y-intercept of the table.

Let's take the first 2 x and y values and use them. First, you need to fill in your formula: y2-y1/x2-x1. It should look like this: 5-2/4-2. Then solve and you should get 3/2. You can't simplify it. So, this is your slope.

Next, you need to put this is into another formula. The formula is y-y1=m(x-x1). Take the first coordinate pair and plug it in for x1 and y1. Plug in your slope for m. When it's filled in, you should have y-2+3/2(x-1). It's hard to explain how to solve it so i'll just write it out.

y-2=3/2(x-2)

y-2=3/2x-3

y=3/2x-1

So, we have our equation in slope intercept form so that we have our slope and our y-intercept.

Y-intercept: -1

Slope: 3/2

Please put this as brainliest it took awhile and I hope this helped :) reply with questions if you still need help or have questions about the steps

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!