Write an equation in y = mx + b given the slope of 2 and goes through the point (4, 9).

slope=2 ie m=2

y=2x+b

and to solve b, we put in 4 and 9 into the equation

9=2*4+b, so b=9-8=1

hence y=2x+1

Step-by-step explanation:

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)

answer: x=3 and y=4

step-by-step explanation: