The sum of three consecutive even integers is 168. Define an appropriate variable and write an equation that represents the statement. Solve to find the integers. Show all work and write a conclusion.

a, a + 1, a + 2

55, 56. 57

Step-by-step explanation:

Let the integers be :

a, a + 1, a + 2 (consecutive integers)

Hence, sum of the integers equals 168

a + (a + 1) + (a + 2) = 168

a + a + 1 + a + 2 = 168

3a + 3 = 168

3a = 168 - 3

3a = 165

a = 165 / 3

a = 55

first integer, a = 55

Second, a +1 = 56

Third, a + 2 = 57

y = 3x+4

step-by-step explanation:

to find the slope

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

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4