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

Answer:
y=5x+1.5
Step-by-step 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 [tex]\frac{y^{2}-y^{1} }{x^{2} -x^{1} } \\[/tex] 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