Give the equation of a line that goes through the point (−8 ,1) and is parallel to the line 2x+9y=27.

y = -2/9x - 7/9

Step-by-step explanation:

1. Move x to the other side (-2x from both sides)

9y = -2x + 27

2. Divide by 9 to isolate y

y = -2/9x + 3

3. substitute the point in (the slope is the same in parallel lines)

1 = -2/9(-8) + b

4. solve for b

9/9 = 16/9 + b

-7/9 = b

5. substitute in for your answer

y = -2/9 - 7/9

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: