Write the equation of the line that goes through the given point on the graph and is parallel to the line shown in the graph.

y = -x - 9

Step-by-step explanation:

The slope of the given line is -1

The coordinate given is ( -7 , -2 )

Since the line is parallel, we can plug in the slope into the equation:

y = -1x + b, simplified to y = -x + b

To calculate the y-intercept, you simply put the coordinates into the equation and solve for b:

-2 = - ( -7 ) + b

-2 = 7 + b

-2 - 7 = b

-9 = b

Now put the b value into the equation and you have the

y = -x - 9

898.1666667

step-by-step explanation:

5389/6 = 898.1666667

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