Write an equation in point slope form for the line through the given point that has the given slope (5,-8); m=-3

Step-by-step explanation:

The equation of a line in the point-slope form is:

where m is the slope of the line and the point is a point that belongs to the line

In this case we know that the slope of the line is

and a point that belongs to this line is (5, -8)

Then the equation of this line in the point-slope form is:

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