Helaine graphed the equation 12x – 4y = 3. what was the slope of helaine’s line

 The slope of Helaine’s line =3

Step-by-step explanation:

We know that the equation of a line in slope -intercept form is given by :-

, where m is slope of the line.

The given equation of line :  

Rewrite the equation in intercept form, we get

Comparing to the general equation of line in slope intercept form , we get

The slope of Helaine' s line ( coefficient of x)= 3.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)