Ali did his homework at school with a graphing calculator. He determined that the equation of the line of best fit for some data was y=2.63x-1.29. Once he got home, he realized he had mixed up the independent and dependent variables. Write the correct equation for the relation in the form y=mx+b.

x=2.63y-1.29

(x-.1.29) divided by 2.63= Y
Question asks for linear equation form,
(divide by everything in bracket)1 over 2.63 is 0.38, 1.29 over 2.63 is 0.49
Ans: y=0.38x+0.49

x = 2.63y - 1.29

How did u get the answer?

IN the 1st Eq, y was the dependent variable; because its' value depended on the value assigned to x. So, if we graphed the 1st Eq, we would select values for x and the value we calculate

for y would DEPEND on the value of x.

Oh no, poor Ali! Looks like he got his wires crossed, or should I say variables crossed? 😄 No worries, we can fix it.

To swap the independent and dependent variables, let's interchange x and y in the equation y = 2.63x - 1.29.

So, the correct equation for the relation would be:

x = 2.63y - 1.29

Hope that sets Ali on the right mathematical path! 🚀

To write the correct equation for the relation in the form y=mx+b, you need to swap the independent variable, which is usually represented by 'x', with the dependent variable, typically represented by 'y'.

In this case, the given equation is: y = 2.63x - 1.29

To swap the variables, replace 'x' with 'y' and 'y' with 'x':

x = 2.63y - 1.29

Therefore, the correct equation for the relation in the form y=mx+b is: x = 2.63y - 1.29.