A line with a slope of 2 passes through (3,9). Which choice is an equation of this line?

1. y - 3 = 2 (x - 9)
2. y + 9 = 2x + 3
3. y - 9 = 2 (x - 3)
4. y - 9 = 2x - 3

The answer to your question is number 3.

Step-by-step explanation:

Data

slope = m = 2

Point = (3, 9)

Process

1.- Write the equation of the line in the form point-slope

               y - y1 = m(x - x1)

2.- Identify the values of x1 and y1

        x1 = 3   y1 = 9

3.- Substitution

               y - 9 = 2(x - 3)

4.- Simplify

              y - 9 = 2x - 6

              y = 2x - 6 + 9

5.- Result

              y = 2x + 3       slope y-intercept form

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)

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.