Write an equation that represents the line.
Use exact numbers

y = 5/6x + 8/3

Step-by-step explanation:

y = mx + b (m is the slope, b is the y-intercept)

(-2, 1) (4, 6)

m = change in y / change in x

m = 5/6

y = 5/6x + b

Plugging in (4, 6):

6 = 5/6(4) + b

6 = 20/6 + b

36/6 = 20/6 + b

36/6 - 20/6 = b

b = 16/6

b = 8/3

y = 5/6x + 8/3

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.