What is the slope of the line y+3=2(x-2) PLEASE SHOW WORK

2

Step-by-step explanation:

Put the equation into y = mx + b form, where m is the slope of the line

Distribute 2 to the parentheses:

y + 3 = 2(x - 2)

y + 3 = 2x - 4

Subtract 3 from both sides:

y = 2x - 7

So, the slope is 2.

a. is correct

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