how do you write an equation with just a graph?

Question

so how do we form an equation when the coordinates are given? pls help fast and put the procedure as well. along with an explanation too. thank you and pls hurry

Plot the following points on a graph paper:

x 1 2 3 4 5

y =5 8 11 14 17

try to guess what is the equation that passes through these points by joining these points

Answer 1

When x increases by 1, y increases by 3.

Therefore, it is a LINE, with linear function y = MX + b

the slope is m=3/1 = 3.

B = y - mx where (x,y) is any given point of your choice.

Using (1,5),

B = y - mx = 5 - 3*1 = 5-3=2

Final answer:

y = 3x+2