M= -1/8, (8, -3) Find the slope-intercept form of the equation of the line that has the given slope m and passes through the given point.

y=-1/8x-2

Step-by-step explanation:

Given the slope, we can start to fill out the slot-intercept form equation.

y=-1/8x+b

We don't know the value of b, but we can plug in the given point to solve for b.

-3=-1/8(8)+b

-3=-1+b

b=-2

Now that we know b, we can finish our slope-intercept equation.

y=-1/8x-2

b

step-by-step explanation:

the word superfluous means unnecessary

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