Select the correct answer.
if a line crosses the y-axis at (0, 1) and has a slope of 4/5, what is the equation of the line?

Step-by-step explanation:

We are given the slope, and the y-intercept. So we can use the slope-intercept equation. Which is as follows:

where is the slope and is the y-intercept (the value of when ).

The information that we have is that the slope of the line is:

and that the line crosses the y-axis at (0, 1).

From this point we can find the y-intercept , because b is the value of when .

And since the line passes through (0, 1) when , . Thus, the y-intercept is:

substituting the values of the slope and the y-intercept into the equation:

the answer 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