Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C. m= - 1/4,(-7,0)
The equation of the line in the form Ax+By=C is .
(Simplify your answer. Use integers or fractions for any numbers in the equation.)

The equation of the line in the form Ax+By=C is

Step-by-step explanation:

We need to write an equation of line that have slope m= -1/4 and point(-7,0)

We would use slope-intercept form:

where m is slope and b is y-intercept.

We are given slope m = -1/4 but we need to find y-intercept

Finding y-intercept

Using the slope m= -1/4 and point(-7,0) we can find y-intercept (b)

Now finding the equation of line having slope m= -1/4 and y-intercept b= -7/4

Now converting into form Ax+By=C :

The equation of the line in the form Ax+By=C 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