Linear Equations, Functions, and Inequalities Interpreting Rate of Change and y-intercept in a Real- World Context - Part 2 Warm-Up Identify the slope and y intercept of the following equations.

1. y = 5x - 6 m= B=

2. 5 - 1 2 x = y m= B=

3. 5x+2y=10 m= b=

4.y=x m= B=

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 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