90 POINTS I WILL GIVE BRAINLIEST! - If a line with the equation y = x is dilated by a factor of 2 what is the equation of the resulting line? If it is then moved three units up, what is the equation of the resulting line? - I want to say that the equation does not change, is that correct or am I missing something?

Step-by-step explanation:

dilating an equation means you multiply it by constant a

y=x the  y=ax after dilation (a=2)

y=x

If it is then moved three units up: means you add constant b (b=3)

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places