left parenthesis negative 7 comma space 13 right parenthesis semicolon space s l o p e space equals space minus 2

y - 13 = -2(x+7)

Step-by-step explanation:

Given

Coordinate point (-7, 13)

Slope m = -2

We can express the euation of the line in point slope form as shown;

The point slope form of the equation is expressed as;

y - y0 = m(x-x0)

x0 = -7, y0 = 13 and m = -2

Substitute;

y - 13 = -2(x-(-7))

y - 13 = -2(x+7)

Hence the required equation in point- slope form is y - 13 = -2(x+7)

step-by-step explanation:

bob the banana

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