ce03e791-ct-of-writing-slope-35-as-35-vs-35-when-plotting-points-from-a-starting

Question

Which of the following statements correctly evaluates the effect of writing the slope −35\displaystyle-\frac35 as 3−5\displaystyle\frac{3}{-5} versus −35{\displaystyle\frac{-3}{5}} when plotting points from a starting position?

Accepted Answer

They are equivalent; −35\displaystyle\frac{-3}{5} means move down 3 and right 5, while 3−5\displaystyle\frac{3}{-5} means move up 3 and left 5 — both produce the same line

Answer

Both are incorrect; slope should always be written as a positive fraction and then a separate negative sign attached to the entire quotient

Answer

They produce different lines because the sign placement changes the fundamental slope value used in the slope-intercept formula

Answer

Only −35\displaystyle\frac{-3}{5} is a valid slope representation because a negative denominator is not allowed in slope calculations

Which of the following statements correctly evaluates the effect of writing the slope −35\(\displaystyle\)-\(\frac\)35 as 3−5\(\displaystyle\]\frac{3}{-5}\) versus −35{\(\displaystyle\]\frac{-3}{5}\)} when plotting points from a starting position?

Which of the following statements correctly evaluates the effect of writing the slope $- \frac{3}{5}$ as $\frac{3}{- 5}$ versus $\frac{- 3}{5}$ when plotting points from a starting position?