Question

What is the slope-intercept form of the function described by this table?

Answer 1

Answer:

y=5x+3

Step-by-step explanation:

You have the points (1,8) (2,13) (3,18) (4,23)

first you want to find the slope.  The equation to find a slope is y2-y1 / x2-x1

your points (1,8) and (2,13) are really all you need

1 would be your x1 and your 2 would be your x2.

8 would be your y1 and 2 your y2

so you want to plug those into your equation y2-y1/x2-x1

13-8 /2-1 you get 5/1

Simplify your answer is 5 for your slope

Now finding the y intercept or "b" I normally just find the pattern of the sequence so in this case when you add one to the top your adding five to the bottom like

x  1   2  3   4

y  8 13 18 23

so to get to your y intercept which is (0,y)

subtract 1 from the top to get zero and subtract 5 from the bottom to get 3 so your y intercept is 3.

Hope this helps.