Calculate the exact slope m (rather than a decimal approximation) of the straight line through the given pair of points, if defined. Try to do the problem without writing anything down except the answer. (If an answer is undefined, enter UNDEFINED.) (6, 7) and (7, 1)

m = -6

Step-by-step explanation:

The slope of a line is calculated as the change in y divided by the change in x.

Teachers use the phrase "rise over run". In this case the rise is negative as the line moves from a higher y value to a lower y value as x increases.

(y-final - y-initial)/(x-final - x-initial)

You are given two points on the line and just plug them in.

(1-7)/(7-6) = -6/1 = -6

answer: at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

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