A 24 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece
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You first have to find the slope using the slope formula. That looks like this with our values: 
. So the slope is -1/8. Use one of the points to first write the equation in y = mx + b form. We have an x and a y to use from one of the points and we also have the slope we just found. Filling in accordingly to solve for b gives us 
and 
. Adding 5/8 to both sides and getting a common denominator gives us that 
. Writing our slope-intercept form we have 
. Standard form for a line is Ax + By = C...no fractions allowed. So let's get rid of that 8 by multiplying each term by 8 to get 8y = -x - 11. Add x to both sides to get it into the correct form: x + 8y = -11