Write an equation for the line shown in the graph. 0
2345
A 10 = 4x
B. y = 2x + 10
C. y= 10x - 2
D. y=-x + 10

y = -x+10

Step-by-step explanation:

We have a point at ( 2,8) and a point at ( 4,6)

We can find the slope using

m = ( y2-y1)/(x2-x1)

   = ( 6-8)/ ( 4-2)

   = -2/2

  = -1

The slope is -1

We can see that it intercepts the y axis at 10 ( x=0 point)

Using the slope intercept form  y = mx+b  where m is the slope and b is the y intercept

y = -x+10

the graph on the bottom right

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)