Aline with a slope of -7 passes through the points (u,0) and (8,-7) what is the value of u?

u = 7

Step-by-step explanation:

Using the slope intercept formula:

Substitute our values from the points and the known slope:

Now we multiply both sides by (8 - u) to isolate the x:

(8-u) x = -7 (8 - u)

Next we add 56 to both sides:

-7 = -56 + 7u

Finish off by dividing both sides by 7:

7u = 49

u = 7

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)