Question

Find the equation of the given table in slope intercept form. Please show work, answer must be in y=mx+b format!

Answer 1

y=5x+1.5

Explanation:

First, we need to find the slope which is M

put B as 0 for now so we going to plug in 2 numbers on the same horizontal side

I'm going to use (-2 and 11.5) and (4 and -18.5), and now I'm going to do
`(y^(2)-y^(1) )/(x^(2) -x^(1) ) \\` which -18.5-11.5/4-(-2)

I'm going to get 30/6 which means 5

the slope is 5 now we can find Y-intercept by plugging in a pair of Y and X and plug in M to find B

11.5=(5)-2+b

11.5=10+b now we going to separate b by subtracting 10 from both sides

1.5=b