1. write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. ( 2 , -2 ) ; y = - x - 2 a. y = -2x b. y = 2x c. y = 1/2x d. y = -x 2. write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. ( 2 , -1 ) ; y = -3/2x + 6 a. y= -3/2x + 1 b. y= -3/2x -1 c. y= -3/2x + 2 d. y= -3/2x + 4 3. write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. ( 4 , 2 ) ; x = -3 a. y=2 b. y=2x+4 c. y=4x d. x=4

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step-by-step explanation:

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