Write a linear equation that goes through the points (0,4) and (4,10). a. y =3⁄2x + 4 b. y =3⁄2x – 4 c. y =2⁄3x – 4 d. y =2⁄3x + 4

A

Step-by-step explanation:

To write the equation, find the slope of the line using the two points. Find the difference in y values over the difference in x values.

Write the equation using the slope m=3/2 and the point slope form.

This is the equation of the line. You can convert it to slope intercept form:

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