Complete the equation of the line through (4, -8) and (8.5).

the equation of the line will be y= 13/4x-21

Step-by-step explanation:

To get the equation of the line that passes through both those points, first use the formula y2-y1/x2-x1 to find the slope of the line.

You will get that the slope of the line is 13/4

we can then plug our slope and one data point into our formula for the equation of a line, y=ax+b, to solve for the initial value

When we plug them in we will get 5=13/4 (8)+b

when we solve we will get that our b value is -21

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