What is the slope of the line through (-9,6)(−6),9)

1

Step-by-step explanation:

Well slope intercept is y2-y1 over x2-x1

So,

-6-(-9) over 9-6

3 over 3 which is 1

Your slope is 1

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)