A line passes through the point (6, -1) and has a slope of 3/2 Write an equation in slope-intercept form

9514 1404 393

  y = 3/2x -10

Step-by-step explanation:

The point-slope equation can be written ...

  y = m(x -h) +k . . . . . for a line with slope m through point (h, k)

Using the given values, this is ...

  y = (3/2)(x -6) -1 = 3/2x -9 -1

  y = 3/2x -10 . . . . . slope-intercept equation

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