Determine the standard form of the equation of the line that passes through (-2,0) and (-8,5)

 5/6x + 1y = -5/3   or       5x + 6y = -10

Step-by-step explanation:

First  you need to write an equation in slope intercept form and convert  it to Standard form. To write an equation in slope intercept form using the coordinates we need to find the slope and the y-intercept.

The slope is the change in y over the change in x.

0-5 = -5

-2-(-8) = 6

Slope  is  -5/6  

  Now find the y intercept   using the formula y =mx + b   where m is the slope and b is the y-intercept.

5 = -5/6(-8) + b

5 = 40/6 +b

-40/6   -40/6

b= -5/3

 So now the equation is  y= -5/6x - 5/3

  So now write it in standard form as  ax+by = c  where x is constant.

 y = -5/6x -5/3

       +5/6x

5/6x + 1y = -5/3  now you can multiply it by 6 to get rid of the fractions.

5/6x(6) + y(6) = -5/3(6)

  5x + 6y = -10

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